{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1 导入必要的包"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt \n",
    "import copy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2 创建数据集"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "根据题目创建一个包含3个类簇的数据集\n",
    "\n",
    "蓝色点个数约为20个，红色点个数约为200个，绿色点个数约为30个\n",
    "\n",
    "不同题目使用的数据集不同，方法相同，根据需要运行相应数据集生成代码"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 第一题"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = np.random.uniform(-5,-3,20)\n",
    "b = np.random.uniform(-1,1,20)\n",
    "cluster1 = np.array([[x, y] for x, y in zip(a,b)])\n",
    "\n",
    "a = np.random.uniform(-2.5,2.5,200)\n",
    "b = np.random.uniform(-2.5,2.5,200)\n",
    "cluster2 = np.array([[x, y] for x, y in zip(a,b)])\n",
    "\n",
    "a = np.random.uniform(3,5,30)\n",
    "b = np.random.uniform(-1,1,30)\n",
    "cluster3 = np.array([[x, y] for x, y in zip(a,b)])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 第二题"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [],
   "source": [
    "# a = np.random.uniform(5,7,20)\n",
    "# b = np.random.uniform(0.5,2.5,20)\n",
    "# cluster1 = np.array([[x, y] for x, y in zip(a,b)])\n",
    "\n",
    "# a = np.random.uniform(-3,3,200)\n",
    "# b = np.random.uniform(-3,3,200)\n",
    "# cluster2 = np.array([[x, y] for x, y in zip(a,b)])\n",
    "\n",
    "# a = np.random.uniform(5,7,30)\n",
    "# b = np.random.uniform(-2.5,-0.5,30)\n",
    "# cluster3 = np.array([[x, y] for x, y in zip(a,b)])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "合并三个簇为一个完整的数据集"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset = np.append(np.append(cluster1,cluster2, axis=0),cluster3, axis=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可视化数据集(未分类)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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TtsvhOc9ayKUKSxts3sx156oSD6kP1OJ9cuLEic7tN28fl/eg1PY2pUnbpdyhaZ25kKd+oxexLRhtxVriA1U26aPt/VKWheLqHkw9UMnp+a0jayHXWqawtMHXTZ+qeEynU33ixInOdatKMXRxD+YgdLk8v3VkL+Q54eOmTznv2YYw+hZXCl0eVAm52v83v6ytremtrS3v30vKKdsAo8nnjhw5gjNnzmB7exurq6uit+Eq1unSpUudNnJo2642iaEMxB5KqYta67Vr/qFM3V0fjMjjYTKZHE4HX1lZ0ZPJpPE5UrFZYrAobEbWMdSH2AXcfJksMpvN8OSTT2Jvbw8AsLe3hyeffLLx0pwmS+RKWJbVZFlUl/UoW364C9y0OSPK1N31EVtEnqu/uBhJo0NEbXMiUihMMnFc1sNFxpGEdifmgC87y4nhZg/VkdhMt1uGJOtl2bVwXQ8X96LJvZVrICMRCnkFoUUmdEcyf4hdZp2ErqMtfNTDt6imcm1ygUJeQZsb2ebDFroj8UUqUZ+kenB9kvSgkC+h6UJJNiOYHCIiSeKXCqmuTyLpXnJRVgq5JVy8kBqNRsF25XYNhSIMttYniak9JN1LrspKIbeEzQsk6cZsi6She0rXQ+Ls1Dok3Uuuylol5Mwjb8h4PMaFCxewvr7eeQZjDnm+JjnmseD6evjMpbdxn8Z2f4a8l5peO+9lLVN314fkiNwmsUU8rohpeL4Ml9dD4rWOscwh7qW27UCPPCOkiFwuuLoekmyBIrw/47p2VULORbOIFVJanMm0Lk3qPJ9+X1xYDEAybZYyZdcu1PXiolnEGaFmJLrAZdpesU4x2haxEOMoIJYygdYKcUVKa4SY1qVrnWMarscEO7jlVAk5s1ZIZ2y/oQ+ZLWFal651lpTN44qyTJDYMmXEUKburg9G5Olhc+gZOiozrUvXOscyXA9B1TUOfe2riOVagdYKkUQsD05O+GzzZdZSbNc+ps6FQk4IqcS3WDX5vtDCHtP7jCohp0dOSpGwow+xx7lz57x606YzT23vmtQGEe8zytTd9ZFjRB46qmhCTENJ0p26e286nep+v38YcQ4Gg6v+NuS96yoaNqnTYrpoDM8vaK2EQ5owxjSUTIlYp5cvXu/RaNTo8y5xNUeh7pyh611FlZDTWvFADClVTawSCUPJttZPKMuorUXQtbwm997i9X7wwQcbfd4lNhepm2NSpzb1DmpHlqm76QHgXgBvAPgQwJrp5xiRxx/VxDKULKNoBfT7/aWWQbEOy1LeXNe1zSjH51K0VW0wmUx0r9eLLjLtgouI3NczDhfWCoBPA/gVAC9RyJeTos8YitFoVGkFzCl7sMrawdcD2OZ7bF23tvdescwrKyt6Mpm0+v4YaeqR133O1zPmRMgPT0Ihj5rQIwLbmAi5qWj77OSaCmro65ZaANCVZddDdER+eBIDIQfwAIAtAFtHjx51UklSjYsRgetRRtX5p9OpHgwGpRkWxb+ZP1iDweBwKz1TuyUWQo7kYm8b39R1bD6uVWshB/ACgNdLjnt0AyEvHozI5ePyIZ9O9/cxnYt12flNh8aj0ejQT1/mh8b6PiA0bJsrxNCxBY/IiweFXA5lEez6+vo19obN/N75w2Lj/LQHiE1Cd2xVQt4DIRUUF9Q/f/48Tp8+jTNnzmB7exuDwQD9fh+7u7tWUxSLaV9zupx/OBzi/Pnzh5sCxJhKSeQwHo+j3ASkUx65UurzSqn3AHwOwLNKqefsFIv4xmRJ0dlsdvjzzs4OTp48aTW/F7g6p7nf72M0GnU6v4s85BThkgzCKQvTXR+0VuKiyvtbzCGeTCbeUvV8Dl9DD5d9I+2FL7kCaK2QKqpmsZ05cwaXL1/GysoKTp8+jccffxy33XZbUvtMLtpHqUftZfUtu/4pt0GKcIo+KZ2SX3y49/b2cOnSJQD7VsXZs2c7P+hVQ3nfq92FnoLum7L6SliSgSyHQk5KfWSXD/cysfYtrLmJWFl9+R4hAcr8FtcHPXIZuPKOl6UEhljbI3ePnMgBXMaWxMKyxatiWtuDgkdio0rI+bKTeGc+lF98aVrly4cgt5egRDYUcnLIbDY7FFcATrNTyiZWxDR5h5kcRBRlYbrrg9ZKfCwuMlW3PonLcsRgZ0jKrY6lzYh7QI+cLGPxBSS4PokIgZTU4ZDuVAk50w8JgKvT0ubrqAB5pORVYStn3pQ20+Rzy4Mn5dAjJwCufQEJtPPIiz47PWVz2r5cjem9AglIWZju+qC1kiZ1O6jEblOEpMtyu2zbfACtFeKaqmG+72n3Eukyw9S3BUTig0JOrFElRvRx6+E0edIFtR+t+2VtbU1vbW15/17injKPvOj/rq6uWhEqevEkR5RSF7XWa9f8nkJOTOgqnDaF10XH0LU87FSID6qEnC87SS2x5Sq72i+0DbG1DUkb8GUnaUtMHvdsNsOLL754+HO/349uKn+scDu3dKGQk1pcr9ndRGA2Nzexs7Nz+PPJkyeD2hlS1jNn5lDacEIQqaVqtUIbNJ0IszgB5sEHH7RWlja4bBubVI0cYi83MaTMb3F90CMnc9pMhOEEmOYsevm+NtImdgE9chIjbawJToBpzmKe+qVLl8R4+6QeWivEC1UpelKsiRQorgH/8ssvY2VlBXt7e1F7+8QM5pET58SW9507xevR6/Xw8MMP4/HHHw9dLGJAVR45rRXiHEkpetIxyQAqXo/Lly8H3VKP2IFCTpwjJUUvRkxTM2ezGe666y7ce++9tSmGvB4JUvYG1PXBrJX8iD3TpGn5utbH5POms0aLfwfDDKDYrwcpB9zqjeSGqVg1nWbfdVq+6edNUzPLtulrWy6Ke9xUCTmtFZIkTWYyNvXwu3r+pp83tUAWt+kbjUaNXyhz5qdsKOQkSc6dO1cplou+c1PPuKvHbPp50zXKi3/3zDPP4Nlnn6382yrPnS+khVMWprs+aK0Ql0ynUz0YDA5thn6/f2gXVNkaMXrktqnbio8zPeMHLjxyAF8F8AMA3wfwXQAfN/kchZy4ZNEzHo1Glf8WcgnctrTtBOrqTo88fqqEvKu18jyAE1rrzwB4C8CjHc9HSGcWrYviwlohU+9sLCPbxcuuqzuXPhBMmbq3OQB8HsDTJn/LiFwWEiO1ZWWOzdZoQtcRhcRrSa4A1+mHAP4WwBeW/PsDALYAbB09etRLpUl36J3awdYqjzavB0VdHq2FHMALAF4vOe4p/M1j2PfIVd35NCPyoDR9eFPwlLtgS+y65KoPBgM9Go1av5i1UR4SB84icgBfBPA9AKumn6GQh6HNw5vzA2+77k0E2NYkH9Pz59ZBS6VKyDu97FRK3QngEQBjrfV2l3MR97TJFTbNZU4R27nVTV4mFl9MzulahuLLVq63khhl6m56AHgbwI8BvHpwfN3kc4zIw5BzdN2G0H70ZDLRN910k+71ep3LUFYXeuTyANdaIVrzBVdTQvnRyzzyNtBKSYMqIecOQZlR3CWG1GOjvcosmrpzFj+zs7OD48ePdyrH4qbVtFLSgmutEOKYNn60bQ8753cdOcCt3gjxQNWepbY/Q9Kmaqs3CnniUAwISQfu2ZkhXGM6bWys3ULSgEKeMFxjOk3m+3Ped999rTppdgDpQSFPGE76SI/5KGtjYwM7OzsAmnXSHKWlCYU8YXLIVMgtuiyOsuYUO+m69uAoLVHKkstdH5wQRGwQ80xVVzsIFevc7/evWUyrrj3aTk7iJLI4AGd2EpvE8HCHmK1oUu+uHUzd56vKYNoeTa5dcdu8wWBAMQ8MhZxYI5ZI2Hc5TL+vawdTtlWdifC6aI/RaFS5bR7xT5WQ0yMnjYnFZ/X9DsC03l1fMhc/PxgM8MILLxi9nMzhnQipoEzdXR+MyGUTS0Tumyb1tuWRL0bEvhe7mk6nut/vH3ryuVzrWEFFRM6ZnaQVuc4Y9V3vebrgfLGrEJF2rtc6RjhFnxChUEjJHAo5IYQIh2utEEJIolDICSFEOBRyQggRDoWcEEKEQyEnhBDhUMgJIUQ4FHJCCBEOhZwQQoQTZEKQUuoDAD/y/sXNuQ7Az0IXwjOscz7kWG/pdb5Ja/2JxV8GEXIpKKW2ymZRpQzrnA851jvVOtNaIYQQ4VDICSFEOBTy5XwjdAECwDrnQ471TrLO9MgJIUQ4jMgJIUQ4FHJCCBEOhdwApdSXlVJaKXVd6LL4QCn1VaXUD5RS31dKfVcp9fHQZXKFUupOpdQPlVJvK6W+Ero8rlFK3aiU+gel1JtKqTeUUl8KXSafKKVWlFL/opT6u9BlsQmFvAal1I0AfhvAf4Yui0eeB3BCa/0ZAG8BeDRweZyglFoB8BSA3wFwM4BTSqmbw5bKOZcB/LHW+tMAfh3AegZ1LvIlAG+GLoRtKOT1/AmAh7G/i3kWaK03tdaXD378JwA3hCyPQ24F8LbW+h2t9S6AbwG4J3CZnKK1fl9r/crB//8c+6J2fdhS+UEpdQOAuwB8M3RZbEMhX4JSagzgJ1rr10KXJSB/CODvQxfCEdcD+HHh5/eQiagBgFLqGIDPAng5bEm8cQb7QdmHoQtim17oAoRGKfUCgE+W/NNjACYAhn5L5Idl9dZaTw/+5jHsD8Wf9lk2j6iS32Ux8lJKfRTAtwGc1lr/b+jyuEYpdTeAn2qtLyqlfjN0eWyTvZBrrU+W/V4p9WsAjgN4TSkF7NsLryilbtVa/7fHIjqhqt5zlFJfBHA3gDt0upMN3gNwY+HnGwD8V6CyeEMp9RHsi/jTWuvvhC6PJ24HMFZKjQD8IoBfUkr9jdb6C4HLZQVOCDJEKfUfANa01pJXTjNCKXUngK8B+A2t9Qehy+MKpVQP+y9z7wDwEwD/DOAPtNZvBC2YQ9R+VPJXAP5Ha306dHlCcBCRf1lrfXfostiCHjkp4yyAjwF4Xin1qlLq66EL5IKDF7oPAXgO+y/9nklZxA+4HcD9AH7r4Nq+ehClEsEwIieEEOEwIieEEOFQyAkhRDgUckIIEQ6FnBBChEMhJ4QQ4VDICSFEOBRyQggRzv8DWnVnX9qJGwMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in dataset:\n",
    "    plt.scatter(i[0], i[1],c='black', s=10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3 随机生成聚类中心"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = np.random.uniform(min(dataset.T[0]),max(dataset.T[0]),3)\n",
    "b = np.random.uniform(min(dataset.T[1]),max(dataset.T[1]),3)\n",
    "center = np.array([[x, y] for x, y in zip(a,b)])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "聚类中心可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-2.4744478301206514, 2.4747131049087407)"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "color_map=['blue','red','green']\n",
    "marker_map=['s','o','v']\n",
    "for i,cet in enumerate(center):\n",
    "    plt.scatter(cet[0], cet[1],c=color_map[i],marker=marker_map[i])\n",
    "plt.xlim(min(dataset.T[0]),max(dataset.T[0]))\n",
    "plt.ylim(min(dataset.T[1]),max(dataset.T[1]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4 生成距离矩阵"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "计算距离矩阵，根据KMeans定义，需逐个计算现有点与三个中心点的欧式距离\n",
    "\n",
    "现有中心矩阵(3,2)，三个点（每个点有各自的横纵坐标）；\n",
    "\n",
    "点矩阵(250,2)，生成的250个点；\n",
    "\n",
    "目标是(250*3)的距离矩阵，250个点分别与3个中心的距离。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "利用python广播机制，求欧式距离（纯矩阵计算，不使用循环）\n",
    "\n",
    "$dist(X,Y) = \\sqrt {\\sum\\limits_{i = 1}^d {|{x_i} - {y_i}{|^2}} }$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_distances(center, dataset):\n",
    "    num_center = center.shape[0]\n",
    "    num_dataset = dataset.shape[0]  # 250\n",
    "\n",
    "    # (3, 250) 全0\n",
    "    dists = np.zeros((num_center,num_dataset))  \n",
    "\n",
    "    # (3, 250) = (3, 250) + (3, 1) 列广播，同行每列都加相同数值\n",
    "    dists += np.sum(center**2, axis=1).reshape(num_center,1)\n",
    "\n",
    "    # (3, 250) = (3, 250) + (1, 250) 行广播，同列每行都加相同数值\n",
    "    dists += np.sum(dataset**2,axis=1).reshape(1,num_dataset)\n",
    "\n",
    "    # (3, 250) = (3, 250) - 2* (3, 2) * (2, 250) 矩阵点乘\n",
    "    dists -= 2*np.dot(center, dataset.T)\n",
    "    dists = np.sqrt(dists)\n",
    "    \n",
    "    return dists.T  # 返回250行，3列的距离矩阵，转置后比较符合直觉"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "计算每个点到每个中心的距离矩阵 `dists`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[8.9850543 , 7.76925179, 7.14482078],\n",
       "       [8.67832908, 7.45866101, 6.8353023 ],\n",
       "       [7.74675202, 6.79752009, 6.00154563],\n",
       "       [7.11775319, 6.13728609, 5.35292533],\n",
       "       [7.8151174 , 6.55298524, 5.95433931],\n",
       "       [7.29105706, 6.06857215, 5.43852811],\n",
       "       [7.54458288, 6.43463443, 5.73198374],\n",
       "       [7.1139298 , 6.16836636, 5.36431381],\n",
       "       [7.2307955 , 6.08829035, 5.40392234],\n",
       "       [8.47998649, 7.18687279, 6.61402386],\n",
       "       [8.41877239, 7.40646551, 6.65141563],\n",
       "       [7.51262327, 6.31301803, 5.66886627],\n",
       "       [8.13246476, 7.17131613, 6.38513028],\n",
       "       [7.63768969, 6.32064614, 5.76105615],\n",
       "       [8.82366749, 7.79383191, 7.05164333],\n",
       "       [8.40390857, 7.17829506, 6.5575236 ],\n",
       "       [9.00821826, 7.87965373, 7.19844438],\n",
       "       [7.23929507, 6.38941701, 5.53566663],\n",
       "       [7.40418749, 6.27187864, 5.58234911],\n",
       "       [7.70950296, 6.46200024, 5.85233843],\n",
       "       [4.43259059, 3.88281574, 2.84229692],\n",
       "       [5.50421849, 4.0423688 , 3.58962553],\n",
       "       [6.41332007, 4.83808351, 4.49432563],\n",
       "       [4.67661251, 3.13178141, 2.75804049],\n",
       "       [6.13687007, 5.09301384, 4.33460166],\n",
       "       [2.37553671, 0.98988149, 0.5944486 ],\n",
       "       [3.88057481, 1.88437801, 2.1901918 ],\n",
       "       [6.09252071, 5.05950645, 4.2938845 ],\n",
       "       [3.15422709, 2.10715842, 1.26881162],\n",
       "       [1.89230939, 2.11717545, 0.92840919],\n",
       "       [3.52761555, 1.39323381, 2.18124815],\n",
       "       [2.47959588, 2.58897718, 1.35625653],\n",
       "       [3.29988643, 2.86559153, 1.73850508],\n",
       "       [2.09931101, 1.16407853, 0.20813004],\n",
       "       [2.7634081 , 1.90164855, 0.91063278],\n",
       "       [4.46908309, 2.36710715, 2.89974494],\n",
       "       [4.93524665, 3.50411152, 3.02046807],\n",
       "       [5.47836205, 3.47634624, 3.71194774],\n",
       "       [4.84617128, 4.31509478, 3.27912413],\n",
       "       [3.69398971, 3.05229929, 2.01944746],\n",
       "       [5.42647267, 4.14506062, 3.54063307],\n",
       "       [2.34534832, 1.91104739, 0.7089346 ],\n",
       "       [3.64703229, 1.5138881 , 2.27503691],\n",
       "       [5.44621419, 3.75293912, 3.53722948],\n",
       "       [4.48116236, 3.95216115, 2.90533466],\n",
       "       [3.74288169, 1.88069184, 1.9517705 ],\n",
       "       [5.43282755, 3.5656243 , 3.57579316],\n",
       "       [3.51175737, 2.16719093, 1.59290219],\n",
       "       [1.87146033, 1.11182493, 0.12656758],\n",
       "       [5.07503447, 3.37716489, 3.17025437],\n",
       "       [3.82039287, 2.64777614, 1.9301678 ],\n",
       "       [4.81611464, 4.11345057, 3.14764842],\n",
       "       [4.29262242, 2.17210014, 2.79290449],\n",
       "       [2.04741088, 1.47762285, 0.25647807],\n",
       "       [6.32590451, 4.6050298 , 4.41586993],\n",
       "       [4.55715361, 3.70056765, 2.80309171],\n",
       "       [4.78981478, 4.05331158, 3.10239525],\n",
       "       [3.92370913, 3.61190655, 2.47789555],\n",
       "       [6.61144285, 5.51123843, 4.79370484],\n",
       "       [2.89564107, 1.41262558, 1.01954712],\n",
       "       [1.49905378, 2.41207616, 1.39524198],\n",
       "       [6.46104326, 4.88819965, 4.5421419 ],\n",
       "       [2.13615228, 2.15745126, 0.92912817],\n",
       "       [5.64240679, 3.75405557, 3.79177928],\n",
       "       [6.14948854, 4.67389983, 4.2362771 ],\n",
       "       [4.23174184, 2.09501485, 2.84295557],\n",
       "       [2.51253379, 2.90522064, 1.68216418],\n",
       "       [5.59148587, 4.99049749, 3.99834345],\n",
       "       [1.67018609, 1.96129904, 0.83382789],\n",
       "       [7.29342642, 5.61488326, 5.3760319 ],\n",
       "       [5.49607194, 4.55262606, 3.72488035],\n",
       "       [6.77119561, 5.48632945, 4.89715177],\n",
       "       [2.09061902, 1.11775613, 0.22622973],\n",
       "       [2.60267124, 2.91806149, 1.68866646],\n",
       "       [5.10047426, 4.47693406, 3.48381798],\n",
       "       [5.07004028, 3.04889853, 3.33701708],\n",
       "       [2.37482359, 2.72803392, 1.50735238],\n",
       "       [5.7380807 , 4.64064205, 3.91035329],\n",
       "       [5.74681923, 4.98879337, 4.06905927],\n",
       "       [1.81240581, 1.83441863, 0.64822417],\n",
       "       [2.78294698, 2.3191452 , 1.1652613 ],\n",
       "       [5.29049127, 4.65383134, 3.67047575],\n",
       "       [4.81447972, 2.68387745, 3.51583478],\n",
       "       [4.56632065, 2.99386027, 2.64980207],\n",
       "       [5.45804903, 3.83725662, 3.54091239],\n",
       "       [6.45631799, 5.29368074, 4.61533341],\n",
       "       [3.50085238, 2.06722161, 1.58384979],\n",
       "       [5.36260004, 3.35566318, 3.60444592],\n",
       "       [3.99964745, 2.92884233, 2.14277629],\n",
       "       [5.95096982, 4.84080281, 4.12175175],\n",
       "       [3.62797505, 1.68994883, 1.90592622],\n",
       "       [3.36339112, 3.09255789, 1.92692024],\n",
       "       [4.55062166, 3.70772552, 2.80282069],\n",
       "       [2.3108659 , 1.41049055, 0.39752683],\n",
       "       [6.46736876, 4.71890412, 4.56126874],\n",
       "       [4.0976455 , 2.91892858, 2.21335424],\n",
       "       [5.80392066, 3.8399057 , 3.99704114],\n",
       "       [3.31885837, 1.79244786, 1.42071535],\n",
       "       [4.482682  , 2.42216753, 2.83071375],\n",
       "       [5.25878437, 3.26289382, 3.49303842],\n",
       "       [2.16975835, 2.65851278, 1.46306312],\n",
       "       [1.92956371, 1.36820928, 0.13596159],\n",
       "       [6.16364163, 5.1335035 , 4.36710771],\n",
       "       [3.4384064 , 3.51333343, 2.29609187],\n",
       "       [3.55971521, 3.39446863, 2.21472161],\n",
       "       [3.14125206, 3.27028776, 2.043464  ],\n",
       "       [4.20154802, 3.39825734, 2.46148779],\n",
       "       [3.92349462, 2.9277784 , 2.0896536 ],\n",
       "       [5.52597425, 4.38415452, 3.68011729],\n",
       "       [5.59719208, 3.99166959, 3.67884047],\n",
       "       [2.56307598, 2.63567297, 1.40332915],\n",
       "       [5.73905216, 4.95368269, 4.04701767],\n",
       "       [4.45267985, 2.92308765, 2.53423558],\n",
       "       [2.36845827, 2.44564857, 1.21327749],\n",
       "       [4.11923104, 3.7538344 , 2.6412904 ],\n",
       "       [6.88022757, 5.34690561, 4.96395899],\n",
       "       [4.35272279, 2.38950905, 2.59548127],\n",
       "       [6.60765145, 4.96992823, 4.68908048],\n",
       "       [2.22669369, 2.23643614, 1.00484475],\n",
       "       [3.37319213, 1.88365095, 1.46561749],\n",
       "       [3.9441    , 3.10852684, 2.17846117],\n",
       "       [2.99382201, 3.00812356, 1.78650204],\n",
       "       [6.8492792 , 5.08522331, 4.94418382],\n",
       "       [2.85266513, 2.68441602, 1.47749499],\n",
       "       [1.94779342, 1.87056021, 0.65222556],\n",
       "       [1.83866329, 1.93727191, 0.74930043],\n",
       "       [4.30904299, 2.57916457, 2.4262041 ],\n",
       "       [6.20675341, 5.36693857, 4.4951354 ],\n",
       "       [4.80181027, 2.67471445, 3.29859735],\n",
       "       [5.83114232, 4.51973779, 3.94278108],\n",
       "       [5.75136356, 4.10680752, 3.83498753],\n",
       "       [5.86913306, 4.44061559, 3.96020258],\n",
       "       [6.58206641, 5.44302274, 4.75029601],\n",
       "       [6.64077787, 5.28459756, 4.74910763],\n",
       "       [3.91291579, 3.1878479 , 2.20171675],\n",
       "       [4.42017605, 2.32249212, 2.84351397],\n",
       "       [4.76927944, 2.8157868 , 2.98418457],\n",
       "       [6.32904736, 4.47731932, 4.45267967],\n",
       "       [3.0803809 , 1.03803886, 1.57131006],\n",
       "       [3.72317618, 1.58578185, 2.39844934],\n",
       "       [4.73488426, 3.10376604, 2.82304002],\n",
       "       [4.08238108, 2.26309019, 2.2442993 ],\n",
       "       [6.46074337, 4.79090746, 4.54432603],\n",
       "       [4.86734275, 3.91903523, 3.08080049],\n",
       "       [3.88068998, 2.54013115, 1.96525122],\n",
       "       [4.99568567, 4.26348098, 3.31584383],\n",
       "       [5.77345659, 4.08295356, 3.86192428],\n",
       "       [4.13796456, 2.88761447, 2.2391159 ],\n",
       "       [4.81488618, 4.02109511, 3.09851607],\n",
       "       [3.82677604, 1.75024692, 2.25572833],\n",
       "       [3.1526835 , 1.86645338, 1.23350757],\n",
       "       [5.76797718, 5.07338371, 4.12466115],\n",
       "       [1.77035143, 2.17425778, 1.02669116],\n",
       "       [3.30680991, 2.20728502, 1.41556787],\n",
       "       [5.37401878, 4.00557492, 3.47053796],\n",
       "       [4.73977939, 3.14873823, 2.82366251],\n",
       "       [4.0059992 , 2.05474321, 2.26096629],\n",
       "       [4.282863  , 2.18796743, 2.70937348],\n",
       "       [3.41422772, 1.33745224, 1.89768984],\n",
       "       [5.45834623, 5.19972774, 4.08787597],\n",
       "       [6.05706749, 4.57027343, 4.14241475],\n",
       "       [6.33846703, 5.23206252, 4.5154233 ],\n",
       "       [3.18321497, 2.29976898, 1.35566389],\n",
       "       [4.12424864, 3.27341998, 2.35854556],\n",
       "       [2.5684476 , 1.28672125, 0.67605748],\n",
       "       [2.66645831, 1.24495697, 0.80443683],\n",
       "       [5.58656572, 3.70521834, 3.73344984],\n",
       "       [7.58771637, 5.88361333, 5.67180478],\n",
       "       [2.54309154, 2.7005335 , 1.46791982],\n",
       "       [2.95284481, 2.86650155, 1.65348558],\n",
       "       [3.17494266, 1.37105728, 1.41222621],\n",
       "       [6.52532974, 5.4556993 , 4.71799441],\n",
       "       [1.90801212, 2.31908359, 1.14555768],\n",
       "       [5.62918322, 5.19922712, 4.14351146],\n",
       "       [5.2173017 , 3.8957499 , 3.32063626],\n",
       "       [2.52964291, 2.42129877, 1.19532965],\n",
       "       [5.61586486, 4.54352971, 3.79528431],\n",
       "       [3.82380376, 2.38753903, 1.90470657],\n",
       "       [5.85889341, 4.9910368 , 4.12833472],\n",
       "       [4.59344224, 2.66914246, 2.79377046],\n",
       "       [1.87131134, 2.46302744, 1.31686417],\n",
       "       [4.94549017, 3.48995353, 3.02882014],\n",
       "       [3.76093926, 3.43472432, 2.29869423],\n",
       "       [4.97631995, 3.73556445, 3.09407994],\n",
       "       [5.85450376, 4.48096493, 3.95400913],\n",
       "       [5.33481663, 4.32428636, 3.5328573 ],\n",
       "       [6.7738183 , 5.53206986, 4.91154156],\n",
       "       [3.87737845, 2.28875348, 1.97211344],\n",
       "       [3.59310546, 2.28837094, 1.67718706],\n",
       "       [4.36367   , 4.22320929, 3.06061962],\n",
       "       [1.89390861, 1.00759373, 0.22537591],\n",
       "       [6.03869719, 4.7047003 , 4.14729213],\n",
       "       [5.52771486, 4.72115235, 3.82104355],\n",
       "       [4.33975992, 2.51694074, 2.49188375],\n",
       "       [5.54039339, 3.48970173, 3.82805034],\n",
       "       [4.75586928, 3.94795391, 3.03087034],\n",
       "       [4.27663697, 3.43343634, 2.51995159],\n",
       "       [7.40459062, 5.72809882, 5.48691307],\n",
       "       [5.61580511, 4.83144193, 3.92203153],\n",
       "       [5.44527226, 3.89831889, 3.52609821],\n",
       "       [4.08588358, 2.85288334, 2.18933562],\n",
       "       [1.47553051, 2.39863697, 1.39013095],\n",
       "       [5.06937486, 4.57226386, 3.52908302],\n",
       "       [2.31831352, 2.67402434, 1.45612257],\n",
       "       [3.78285798, 1.64729247, 2.41799938],\n",
       "       [6.49414485, 5.1734851 , 4.60925085],\n",
       "       [5.35477637, 4.14472813, 3.48601631],\n",
       "       [5.92408283, 5.15119911, 4.24165633],\n",
       "       [3.34383573, 1.68731281, 1.48340741],\n",
       "       [6.16562433, 4.28278829, 4.30426716],\n",
       "       [6.02421605, 5.59047743, 4.5425405 ],\n",
       "       [3.62874293, 2.60757877, 1.77408509],\n",
       "       [6.00986591, 4.24083472, 4.11124594],\n",
       "       [5.93640984, 4.20090259, 4.0311689 ],\n",
       "       [2.13282327, 0.82143806, 0.4951464 ],\n",
       "       [6.15961038, 5.7886029 , 4.7215606 ],\n",
       "       [6.5047901 , 4.82329337, 4.58926764],\n",
       "       [4.14155137, 3.80716132, 2.68642755],\n",
       "       [5.34722227, 4.2892697 , 3.52740462],\n",
       "       [5.84909862, 5.15814594, 4.20921296],\n",
       "       [2.76753174, 1.6950734 , 2.85780227],\n",
       "       [1.52054493, 0.65206068, 0.92159439],\n",
       "       [1.3074892 , 0.83825725, 1.21865772],\n",
       "       [1.91789574, 0.44684355, 1.49573596],\n",
       "       [1.91263734, 1.92771348, 2.74177867],\n",
       "       [1.31611987, 1.75238341, 2.32366799],\n",
       "       [2.80522131, 0.70489787, 1.82265473],\n",
       "       [3.07836159, 2.07067514, 3.24067276],\n",
       "       [2.62619229, 0.56986376, 1.75595995],\n",
       "       [2.89031809, 1.31158954, 2.54138949],\n",
       "       [2.72890291, 1.7677424 , 2.9078435 ],\n",
       "       [3.0245923 , 1.56961413, 2.79429172],\n",
       "       [2.98556954, 1.91167552, 3.08782809],\n",
       "       [2.24268188, 1.51182964, 2.5507966 ],\n",
       "       [1.33998366, 1.57968653, 2.18995958],\n",
       "       [2.35658126, 0.5897121 , 1.81296772],\n",
       "       [2.12438212, 0.6149939 , 1.76472271],\n",
       "       [2.48365718, 0.74050724, 1.96904296],\n",
       "       [1.47046594, 1.61909329, 2.29315294],\n",
       "       [1.64018517, 1.54358364, 2.31647896],\n",
       "       [1.50225638, 1.95986297, 2.58052019],\n",
       "       [1.59052707, 0.63568485, 1.3751528 ],\n",
       "       [2.71253501, 1.34189667, 2.54565121],\n",
       "       [2.23298285, 1.57000598, 2.59337968],\n",
       "       [1.23319788, 1.31864517, 1.87778703],\n",
       "       [1.48291365, 0.65563356, 1.13062982],\n",
       "       [2.65713652, 1.23458649, 2.44152802],\n",
       "       [2.78095948, 2.05126405, 3.14974843],\n",
       "       [2.98612201, 1.1594694 , 2.38290636],\n",
       "       [1.94072774, 0.76195541, 1.80265042]])"
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dists = compute_distances(center, dataset)\n",
    "dists"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "找到每个点离哪一个中心最近 `nearest_center`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2,\n",
       "       2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1,\n",
       "       2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2,\n",
       "       2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2,\n",
       "       2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2,\n",
       "       2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "       1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1,\n",
       "       1, 1, 0, 1, 1, 1, 1, 1], dtype=int64)"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nearest_center = dists.argmin(axis=1)\n",
    "nearest_center"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "将每个点的最近聚类中心点作为其分类，插入到第三列作为标签\n",
    "\n",
    "生成预测标签数据集`dataset_predict`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-4.70292561e+00,  7.75239355e-01,  2.00000000e+00],\n",
       "       [-4.39604931e+00,  7.24956324e-01,  2.00000000e+00],\n",
       "       [-3.77020745e+00, -5.04866941e-01,  2.00000000e+00],\n",
       "       [-3.11230907e+00, -4.44915995e-01,  2.00000000e+00],\n",
       "       [-3.48703480e+00,  6.99790121e-01,  2.00000000e+00],\n",
       "       [-3.02880984e+00,  4.29382922e-01,  2.00000000e+00],\n",
       "       [-3.41638403e+00,  6.82247192e-02,  2.00000000e+00],\n",
       "       [-3.13575992e+00, -5.64441955e-01,  2.00000000e+00],\n",
       "       [-3.06767286e+00,  1.32796505e-01,  2.00000000e+00],\n",
       "       [-4.08571138e+00,  9.95008176e-01,  2.00000000e+00],\n",
       "       [-4.39016488e+00, -1.95625706e-01,  2.00000000e+00],\n",
       "       [-3.27715195e+00,  3.93570888e-01,  2.00000000e+00],\n",
       "       [-4.14839312e+00, -4.28972185e-01,  2.00000000e+00],\n",
       "       [-3.22911168e+00,  8.66141679e-01,  2.00000000e+00],\n",
       "       [-4.77796053e+00, -7.57052324e-02,  2.00000000e+00],\n",
       "       [-4.11791537e+00,  6.89386710e-01,  2.00000000e+00],\n",
       "       [-4.84823472e+00,  3.86515711e-01,  2.00000000e+00],\n",
       "       [-3.32612656e+00, -8.86973687e-01,  2.00000000e+00],\n",
       "       [-3.25163820e+00,  1.26613052e-01,  2.00000000e+00],\n",
       "       [-3.40514802e+00,  6.17858789e-01,  2.00000000e+00],\n",
       "       [-5.87835694e-01, -1.55510092e+00,  2.00000000e+00],\n",
       "       [-9.51892976e-01,  6.64023331e-01,  2.00000000e+00],\n",
       "       [-1.59516730e+00,  1.35554811e+00,  2.00000000e+00],\n",
       "       [-4.56471219e-02,  5.50613133e-01,  2.00000000e+00],\n",
       "       [-2.07160984e+00, -3.48274531e-01,  2.00000000e+00],\n",
       "       [ 2.08916999e+00, -4.57564242e-01,  2.00000000e+00],\n",
       "       [ 1.52278749e+00,  1.04030422e+00,  1.00000000e+00],\n",
       "       [-2.03619449e+00, -3.85019915e-01,  2.00000000e+00],\n",
       "       [ 9.89049695e-01, -6.85936936e-01,  2.00000000e+00],\n",
       "       [ 1.92713512e+00, -1.92522212e+00,  2.00000000e+00],\n",
       "       [ 2.38671869e+00,  1.13373398e+00,  1.00000000e+00],\n",
       "       [ 1.33244035e+00, -2.07639549e+00,  2.00000000e+00],\n",
       "       [ 5.53095908e-01, -1.57455633e+00,  2.00000000e+00],\n",
       "       [ 2.11908815e+00, -8.51677169e-01,  2.00000000e+00],\n",
       "       [ 1.30284683e+00, -9.35262062e-01,  2.00000000e+00],\n",
       "       [ 1.61445215e+00,  1.79833688e+00,  1.00000000e+00],\n",
       "       [-4.52370747e-01,  3.91207985e-01,  2.00000000e+00],\n",
       "       [ 4.37951990e-01,  2.22292364e+00,  1.00000000e+00],\n",
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       "       [ 2.04533473e-01, -1.29822181e+00,  2.00000000e+00],\n",
       "       [-1.11980015e+00,  1.70521274e-01,  2.00000000e+00],\n",
       "       [ 1.58051948e+00, -1.37116564e+00,  2.00000000e+00],\n",
       "       [ 2.31470872e+00,  1.23237315e+00,  1.00000000e+00],\n",
       "       [-4.77154635e-01,  1.26313612e+00,  2.00000000e+00],\n",
       "       [-6.42501029e-01, -1.60485776e+00,  2.00000000e+00],\n",
       "       [ 1.31648811e+00,  6.96429224e-01,  1.00000000e+00],\n",
       "       [-2.43724630e-02,  1.75368116e+00,  1.00000000e+00],\n",
       "       [ 8.50736272e-01, -2.05420504e-01,  2.00000000e+00],\n",
       "       [ 2.31381949e+00, -9.71585579e-01,  2.00000000e+00],\n",
       "       [-1.41673508e-01,  1.08877989e+00,  2.00000000e+00],\n",
       "       [ 3.84616574e-01, -4.05363180e-01,  2.00000000e+00],\n",
       "       [-9.32247728e-01, -1.26412267e+00,  2.00000000e+00],\n",
       "       [ 1.86280152e+00,  1.73142890e+00,  1.00000000e+00],\n",
       "       [ 1.98531083e+00, -1.16838279e+00,  2.00000000e+00],\n",
       "       [-1.17567409e+00,  1.79792585e+00,  2.00000000e+00],\n",
       "       [-5.93376306e-01, -9.26738573e-01,  2.00000000e+00],\n",
       "       [-8.91465679e-01, -1.18763964e+00,  2.00000000e+00],\n",
       "       [-1.08020350e-01, -1.92257137e+00,  2.00000000e+00],\n",
       "       [-2.49543951e+00, -1.11310664e-01,  2.00000000e+00],\n",
       "       [ 1.60720078e+00, -2.15989285e-01,  2.00000000e+00],\n",
       "       [ 2.35080281e+00, -2.42798768e+00,  2.00000000e+00],\n",
       "       [-1.64378348e+00,  1.36803643e+00,  2.00000000e+00],\n",
       "       [ 1.69406918e+00, -1.81456732e+00,  2.00000000e+00],\n",
       "       [-1.21619573e-01,  1.95205068e+00,  1.00000000e+00],\n",
       "       [-1.53968357e+00,  9.36038430e-01,  2.00000000e+00],\n",
       "       [ 2.15900050e+00,  1.80241063e+00,  1.00000000e+00],\n",
       "       [ 1.32854884e+00, -2.47444783e+00,  2.00000000e+00],\n",
       "       [-1.75525876e+00, -1.57297434e+00,  2.00000000e+00],\n",
       "       [ 2.15644454e+00, -1.87240077e+00,  2.00000000e+00],\n",
       "       [-2.13130058e+00,  2.13433038e+00,  2.00000000e+00],\n",
       "       [-1.50040601e+00, -6.84108201e-01,  2.00000000e+00],\n",
       "       [-2.43417291e+00,  5.21181772e-01,  2.00000000e+00],\n",
       "       [ 2.15337783e+00, -8.20452714e-01,  2.00000000e+00],\n",
       "       [ 1.22951554e+00, -2.41682991e+00,  2.00000000e+00],\n",
       "       [-1.25003127e+00, -1.46793190e+00,  2.00000000e+00],\n",
       "       [ 8.01137277e-01,  1.98609436e+00,  1.00000000e+00],\n",
       "       [ 1.45040077e+00, -2.34360169e+00,  2.00000000e+00],\n",
       "       [-1.62265603e+00, -2.51859964e-01,  2.00000000e+00],\n",
       "       [-1.85967004e+00, -1.16668207e+00,  2.00000000e+00],\n",
       "       [ 2.04991751e+00, -1.66893084e+00,  2.00000000e+00],\n",
       "       [ 1.10924426e+00, -1.42980164e+00,  2.00000000e+00],\n",
       "       [-1.43970303e+00, -1.45350807e+00,  2.00000000e+00],\n",
       "       [ 2.29081185e+00,  2.47471310e+00,  1.00000000e+00],\n",
       "       [ 9.87866636e-02,  5.64583200e-01,  2.00000000e+00],\n",
       "       [-6.35452652e-01,  1.07082233e+00,  2.00000000e+00],\n",
       "       [-2.27521503e+00,  5.86292868e-02,  2.00000000e+00],\n",
       "       [ 9.48805692e-01, -7.86400147e-02,  2.00000000e+00],\n",
       "       [ 5.39458902e-01,  2.15516603e+00,  1.00000000e+00],\n",
       "       [ 1.20748031e-01, -5.53011826e-01,  2.00000000e+00],\n",
       "       [-1.82442973e+00, -1.83967842e-01,  2.00000000e+00],\n",
       "       [ 1.56271709e+00,  7.53442569e-01,  1.00000000e+00],\n",
       "       [ 4.57601622e-01, -1.84707380e+00,  2.00000000e+00],\n",
       "       [-5.94118632e-01, -9.55396763e-01,  2.00000000e+00],\n",
       "       [ 1.83997385e+00, -8.88441261e-01,  2.00000000e+00],\n",
       "       [-1.22113216e+00,  1.96822188e+00,  2.00000000e+00],\n",
       "       [ 1.06328340e-01, -3.44182086e-01,  2.00000000e+00],\n",
       "       [ 4.13706637e-02,  2.31911798e+00,  1.00000000e+00],\n",
       "       [ 1.22594808e+00, -1.29309249e-02,  2.00000000e+00],\n",
       "       [ 1.36373066e+00,  1.66192723e+00,  1.00000000e+00],\n",
       "       [ 5.61694037e-01,  2.04092253e+00,  1.00000000e+00],\n",
       "       [ 1.66381012e+00, -2.39845544e+00,  2.00000000e+00],\n",
       "       [ 2.12824660e+00, -1.15066305e+00,  2.00000000e+00],\n",
       "       [-2.11029223e+00, -3.85164513e-01,  2.00000000e+00],\n",
       "       [ 3.91677775e-01, -2.44552035e+00,  2.00000000e+00],\n",
       "       [ 2.52286792e-01, -2.08053753e+00,  2.00000000e+00],\n",
       "       [ 6.86201991e-01, -2.40455120e+00,  2.00000000e+00],\n",
       "       [-2.54060880e-01, -1.03468635e+00,  2.00000000e+00],\n",
       "       [ 1.46790417e-01, -6.93067398e-01,  2.00000000e+00],\n",
       "       [-1.36795884e+00, -1.68396912e-01,  2.00000000e+00],\n",
       "       [-7.90967904e-01,  1.09142363e+00,  2.00000000e+00],\n",
       "       [ 1.24905543e+00, -2.06525127e+00,  2.00000000e+00],\n",
       "       [-1.83925164e+00, -1.09298592e+00,  2.00000000e+00],\n",
       "       [ 1.42808315e-01,  4.29467677e-01,  2.00000000e+00],\n",
       "       [ 1.44600322e+00, -1.98474117e+00,  2.00000000e+00],\n",
       "       [-3.01048845e-01, -1.86717220e+00,  2.00000000e+00],\n",
       "       [-2.11173841e+00,  1.40644704e+00,  2.00000000e+00],\n",
       "       [ 1.08695217e+00,  1.30103656e+00,  1.00000000e+00],\n",
       "       [-1.63117553e+00,  1.65294249e+00,  2.00000000e+00],\n",
       "       [ 1.59968038e+00, -1.84036032e+00,  2.00000000e+00],\n",
       "       [ 1.13331917e+00, -4.29665281e-02,  2.00000000e+00],\n",
       "       [ 2.99608944e-02, -9.74094351e-01,  2.00000000e+00],\n",
       "       [ 8.19005020e-01, -2.16436160e+00,  2.00000000e+00],\n",
       "       [-1.49727843e+00,  2.23403245e+00,  2.00000000e+00],\n",
       "       [ 9.69923399e-01, -1.84734469e+00,  2.00000000e+00],\n",
       "       [ 1.92100630e+00, -1.62610601e+00,  2.00000000e+00],\n",
       "       [ 2.00353457e+00, -1.76116066e+00,  2.00000000e+00],\n",
       "       [ 5.90836317e-01,  7.69044217e-01,  2.00000000e+00],\n",
       "       [-2.28658375e+00, -9.39313129e-01,  2.00000000e+00],\n",
       "       [ 1.69977826e+00,  2.21916850e+00,  1.00000000e+00],\n",
       "       [-1.47992068e+00,  3.55945768e-01,  2.00000000e+00],\n",
       "       [-8.51287807e-01,  1.27318333e+00,  2.00000000e+00],\n",
       "       [-1.35070110e+00,  6.98537138e-01,  2.00000000e+00],\n",
       "       [-2.42597480e+00,  7.22437737e-03,  2.00000000e+00],\n",
       "       [-2.20320232e+00,  7.20670121e-01,  2.00000000e+00],\n",
       "       [ 9.53344564e-03, -1.16993025e+00,  2.00000000e+00],\n",
       "       [ 1.61110520e+00,  1.74015146e+00,  1.00000000e+00],\n",
       "       [ 7.51986734e-01,  1.56506780e+00,  1.00000000e+00],\n",
       "       [-7.85005482e-01,  2.25709970e+00,  2.00000000e+00],\n",
       "       [ 2.19895939e+00,  5.31154705e-01,  1.00000000e+00],\n",
       "       [ 2.39727322e+00,  1.35079096e+00,  1.00000000e+00],\n",
       "       [ 3.81921207e-02,  7.66522210e-01,  2.00000000e+00],\n",
       "       [ 9.52628882e-01,  8.20613613e-01,  2.00000000e+00],\n",
       "       [-1.42315558e+00,  1.69296340e+00,  2.00000000e+00],\n",
       "       [-8.56169587e-01, -7.14947965e-01,  2.00000000e+00],\n",
       "       [ 4.75667959e-01, -1.11023251e-01,  2.00000000e+00],\n",
       "       [-1.10427912e+00, -1.20585309e+00,  2.00000000e+00],\n",
       "       [-7.70248326e-01,  1.41912447e+00,  2.00000000e+00],\n",
       "       [ 1.29775630e-01, -2.05249229e-01,  2.00000000e+00],\n",
       "       [-8.91023535e-01, -1.06120311e+00,  2.00000000e+00],\n",
       "       [ 1.83782097e+00,  1.18511038e+00,  1.00000000e+00],\n",
       "       [ 1.16838926e+00, -3.75336208e-01,  2.00000000e+00],\n",
       "       [-1.90642899e+00, -1.33857661e+00,  2.00000000e+00],\n",
       "       [ 2.04207382e+00, -2.05342181e+00,  2.00000000e+00],\n",
       "       [ 8.63027423e-01, -5.96918629e-01,  2.00000000e+00],\n",
       "       [-9.59960161e-01,  3.78433967e-01,  2.00000000e+00],\n",
       "       [-3.26685628e-02,  6.78898911e-01,  2.00000000e+00],\n",
       "       [ 1.30902811e+00,  1.03468284e+00,  1.00000000e+00],\n",
       "       [ 1.66944569e+00,  1.61529345e+00,  1.00000000e+00],\n",
       "       [ 2.08786177e+00,  8.53787263e-01,  1.00000000e+00],\n",
       "       [-1.63576227e+00, -2.43321301e+00,  2.00000000e+00],\n",
       "       [-1.43335227e+00,  9.35815512e-01,  2.00000000e+00],\n",
       "       [-2.21620478e+00, -1.34271924e-01,  2.00000000e+00],\n",
       "       [ 8.58407972e-01, -9.06010506e-01,  2.00000000e+00],\n",
       "       [-1.49200804e-01, -9.44888919e-01,  2.00000000e+00],\n",
       "       [ 1.79198012e+00, -5.06782139e-01,  2.00000000e+00],\n",
       "       [ 1.79429108e+00, -3.49884516e-01,  2.00000000e+00],\n",
       "       [-1.01049555e-01,  1.89408145e+00,  1.00000000e+00],\n",
       "       [-2.31206246e+00,  2.38676687e+00,  2.00000000e+00],\n",
       "       [ 1.27004344e+00, -2.16978389e+00,  2.00000000e+00],\n",
       "       [ 8.60623807e-01, -1.99937821e+00,  2.00000000e+00],\n",
       "       [ 1.70061420e+00,  2.78021385e-01,  1.00000000e+00],\n",
       "       [-2.43877577e+00, -2.20176593e-01,  2.00000000e+00],\n",
       "       [ 1.90467148e+00, -2.14496070e+00,  2.00000000e+00],\n",
       "       [-1.81681671e+00, -2.02714774e+00,  2.00000000e+00],\n",
       "       [-8.66306593e-01,  2.16380267e-01,  2.00000000e+00],\n",
       "       [ 1.29762651e+00, -1.81543068e+00,  2.00000000e+00],\n",
       "       [-1.52205489e+00, -3.36432773e-01,  2.00000000e+00],\n",
       "       [ 6.32386555e-01,  3.09295075e-02,  2.00000000e+00],\n",
       "       [-1.91730778e+00, -8.67618890e-01,  2.00000000e+00],\n",
       "       [ 7.93940622e-01,  1.36968628e+00,  1.00000000e+00],\n",
       "       [ 1.95607720e+00, -2.33278782e+00,  2.00000000e+00],\n",
       "       [-4.28850440e-01,  4.51116884e-01,  2.00000000e+00],\n",
       "       [ 5.85041700e-02, -1.85631397e+00,  2.00000000e+00],\n",
       "       [-7.19036054e-01, -3.55528494e-02,  2.00000000e+00],\n",
       "       [-1.41823047e+00,  5.37473349e-01,  2.00000000e+00],\n",
       "       [-1.28815486e+00, -5.28243090e-01,  2.00000000e+00],\n",
       "       [-2.49468667e+00,  3.78819507e-01,  2.00000000e+00],\n",
       "       [ 7.64777808e-01,  3.04490934e-01,  2.00000000e+00],\n",
       "       [ 7.31374729e-01, -2.43738088e-01,  2.00000000e+00],\n",
       "       [-5.41923017e-01, -2.38493759e+00,  2.00000000e+00],\n",
       "       [ 2.36135987e+00, -8.75520638e-01,  2.00000000e+00],\n",
       "       [-1.65212056e+00,  4.77751420e-01,  2.00000000e+00],\n",
       "       [-1.61361991e+00, -1.03554616e+00,  2.00000000e+00],\n",
       "       [ 7.45961092e-01,  9.78188480e-01,  2.00000000e+00],\n",
       "       [ 6.51728086e-01,  2.45755085e+00,  1.00000000e+00],\n",
       "       [-8.23430908e-01, -1.02953035e+00,  2.00000000e+00],\n",
       "       [-3.11183036e-01, -9.57729311e-01,  2.00000000e+00],\n",
       "       [-2.23442633e+00,  2.18107967e+00,  2.00000000e+00],\n",
       "       [-1.71423993e+00, -1.09405652e+00,  2.00000000e+00],\n",
       "       [-7.58159440e-01,  8.67405605e-01,  2.00000000e+00],\n",
       "       [ 1.66298690e-01, -2.48292553e-01,  2.00000000e+00],\n",
       "       [ 2.37318647e+00, -2.42034481e+00,  2.00000000e+00],\n",
       "       [-1.24668176e+00, -1.76373592e+00,  2.00000000e+00],\n",
       "       [ 1.50433202e+00, -2.31526354e+00,  2.00000000e+00],\n",
       "       [ 2.30353576e+00,  1.37595578e+00,  1.00000000e+00],\n",
       "       [-2.11366886e+00,  5.64042213e-01,  2.00000000e+00],\n",
       "       [-1.12810950e+00, -2.69461138e-02,  2.00000000e+00],\n",
       "       [-2.03328355e+00, -1.12998950e+00,  2.00000000e+00],\n",
       "       [ 1.35208971e+00,  1.71851806e-01,  2.00000000e+00],\n",
       "       [-5.46851293e-01,  2.26754041e+00,  1.00000000e+00],\n",
       "       [-2.21223530e+00, -2.08956737e+00,  2.00000000e+00],\n",
       "       [ 4.70824906e-01, -6.77348457e-01,  2.00000000e+00],\n",
       "       [-7.77311968e-01,  1.78718294e+00,  2.00000000e+00],\n",
       "       [-8.03270725e-01,  1.64054994e+00,  2.00000000e+00],\n",
       "       [ 2.32909682e+00, -5.60169114e-01,  2.00000000e+00],\n",
       "       [-2.34432093e+00, -2.29503530e+00,  2.00000000e+00],\n",
       "       [-1.43277748e+00,  1.75456478e+00,  2.00000000e+00],\n",
       "       [-3.26456067e-01, -1.93252293e+00,  2.00000000e+00],\n",
       "       [-1.26301328e+00, -4.08729368e-01,  2.00000000e+00],\n",
       "       [-1.99013121e+00, -1.35323009e+00,  2.00000000e+00],\n",
       "       [ 4.56930717e+00,  5.68757425e-01,  1.00000000e+00],\n",
       "       [ 3.08470351e+00, -7.57800465e-01,  1.00000000e+00],\n",
       "       [ 3.41094446e+00, -8.48670707e-01,  1.00000000e+00],\n",
       "       [ 3.45129202e+00, -2.09463763e-01,  1.00000000e+00],\n",
       "       [ 4.89934672e+00, -5.19665824e-01,  0.00000000e+00],\n",
       "       [ 4.53055870e+00, -9.90497613e-01,  0.00000000e+00],\n",
       "       [ 3.01165513e+00,  5.95495000e-01,  1.00000000e+00],\n",
       "       [ 4.87879367e+00,  7.94459324e-01,  1.00000000e+00],\n",
       "       [ 3.14234063e+00,  4.46245718e-01,  1.00000000e+00],\n",
       "       [ 3.96763019e+00,  7.92986012e-01,  1.00000000e+00],\n",
       "       [ 4.67699653e+00,  4.95038421e-01,  1.00000000e+00],\n",
       "       [ 4.21390073e+00,  9.04630888e-01,  1.00000000e+00],\n",
       "       [ 4.72346910e+00,  7.49890805e-01,  1.00000000e+00],\n",
       "       [ 4.52075580e+00,  3.45975631e-02,  1.00000000e+00],\n",
       "       [ 4.39188877e+00, -8.85138922e-01,  0.00000000e+00],\n",
       "       [ 3.48988403e+00,  2.41327637e-01,  1.00000000e+00],\n",
       "       [ 3.61654157e+00,  2.22351342e-02,  1.00000000e+00],\n",
       "       [ 3.57246781e+00,  3.78943559e-01,  1.00000000e+00],\n",
       "       [ 4.48650496e+00, -7.86506510e-01,  0.00000000e+00],\n",
       "       [ 4.48083223e+00, -5.95525294e-01,  1.00000000e+00],\n",
       "       [ 4.78635737e+00, -9.49738480e-01,  0.00000000e+00],\n",
       "       [ 3.48690586e+00, -5.36184727e-01,  1.00000000e+00],\n",
       "       [ 4.15644882e+00,  5.97435810e-01,  1.00000000e+00],\n",
       "       [ 4.58177956e+00,  2.95854659e-03,  1.00000000e+00],\n",
       "       [ 4.07913431e+00, -8.89225410e-01,  0.00000000e+00],\n",
       "       [ 3.28756464e+00, -7.06046854e-01,  1.00000000e+00],\n",
       "       [ 4.05790238e+00,  5.52593800e-01,  1.00000000e+00],\n",
       "       [ 4.99682664e+00,  4.22785996e-01,  1.00000000e+00],\n",
       "       [ 3.61015265e+00,  8.86155661e-01,  1.00000000e+00],\n",
       "       [ 3.77652020e+00, -1.52734188e-01,  1.00000000e+00]])"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataset_predict = np.insert(dataset, 2, values=nearest_center, axis=1)\n",
    "dataset_predict"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "通过距离矩阵及数据标签，可视化当前状态\n",
    "\n",
    "离哪个中心点最近，即分为那一类\n",
    "\n",
    "计算每个点离自己分类中心的总距离，即为损失函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 3.8119797 , -2.09313796],\n",
       "       [ 3.01579858, -0.10939069],\n",
       "       [ 2.20742089, -1.04013257]])"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "center"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "当前总距离为： 704.1037465295453\n"
     ]
    }
   ],
   "source": [
    "def plot_current_state(dataset_predict):\n",
    "    plt.figure()\n",
    "    for label in range(3):\n",
    "        plt.scatter(dataset_predict[dataset_predict[:,2]==label][:,0],\n",
    "                    dataset_predict[dataset_predict[:,2]==label][:,1],\n",
    "                    c='',\n",
    "                    edgecolors=color_map[label],\n",
    "                    marker=marker_map[label])\n",
    "    for i,cet in enumerate(center):\n",
    "        plt.scatter(cet[0], cet[1],c=color_map[i],marker=marker_map[i], s=50)\n",
    "    plt.show()\n",
    "\n",
    "plot_current_state(dataset_predict)\n",
    "loss = np.sum(dists.min(axis=1))  # 计算每个点离自己分类中心的总距离\n",
    "print(\"当前总距离为：\",loss)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5 迭代求出最佳聚类中心"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [],
   "source": [
    "def fit_kmeans(dataset_predict, dists, epoch):\n",
    "    break_k = 0\n",
    "    last_loss = np.sum(dists.min(axis=1))\n",
    "    for i in range(epoch):\n",
    "        for label in range(3):\n",
    "            simple_list = dataset_predict[dataset_predict[:,2]==label]\n",
    "            x = np.mean(simple_list[:,0])\n",
    "            y = np.mean(simple_list[:,1])\n",
    "            center[label] = [x,y]\n",
    "        plot_current_state(dataset_predict)\n",
    "        loss = np.sum(dists.min(axis=1))\n",
    "        print(\"总迭代轮次：\",i+1,\"/\",epoch,\"总距离：\",loss)\n",
    "        \n",
    "        dists = compute_distances(center, dataset)\n",
    "        nearest_center = dists.argmin(axis=1)\n",
    "        dataset_predict = np.insert(dataset, 2, values=nearest_center, axis=1) \n",
    "        \n",
    "        if loss == last_loss:\n",
    "            break_k += 1\n",
    "            if break_k == 3:\n",
    "                break\n",
    "        else:\n",
    "            last_loss = loss\n",
    "            break_k = 0\n",
    "        "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "通过epoch设置迭代次数，连续3次距离不下降，则自动结束"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 1 / 20 总距离： 704.1037465295453\n"
     ]
    },
    {
     "data": {
      "image/png": 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9TUREUclRpLVGiwLjAklvnZ6wHnpBxKXGkbarNoV/DadF7oto3MVxMlvvP7f/oYmXJwo/dznahXZ775bZ+KVCeDgRj0f09GmeLDeXyNycqHlzorAw1rnI1zfv/I0bRLq6RMnJ7LO7O1HDhuw+AXw+kb090Wkpuy5xlAjgOgRxyIpX0a/wJe2LmDyHnwM5yEFZQRnHfj+Gbc+2wVTLFO7h7jDTNgMAoVXueNjxh9a4AIFVPuf2HNwNvwvv8bJzyc1qPQvm28wxv918fE76jHdx7zCqySiZjS9TUlKAo0dZkS4TE5b6r68PBAWx/y5fzuLZa9UCbt0CoqIAAwPgxAnm+27aNG+sLl2Ali2ZX33oUKBDB9ZFaMgQFiapqMhcLcnJrLY6R7mHU+QcRWb4+eHIyMkQ8YXHpsYiMjkSHep0wOuY13j2+RnOBZzDIMtBGNF4BGpr1hZeO6fNHBz1O4rF9osLnONq0FWseLACAHtBvIh+AR0VHfx59k8scViC7mbdi/0cuqq6cLJxwuqHqxGeGI6F7RaWz03OmBjm17a0ZEr45UsWkXLtGtuI1NICLCwAa2uWWVq3LqtDnpnJEpIkJeDp6QFJ/8/b4/GAy5eBVauYXzwnB+jXj0WwVCmHvw8OcSSZ6SV9cK6Vis3BFwep/aH2IrJh54bRygcr6fnn56TjqkNyy+RoxLkRpLVGi95/fS82RnZuAc2N/8+r6Fek4qJC7mHu5BnhSZs9N9O//v+SiosKvY55LbNniU2JJY3VGmS80ZgyczJlNq5MmTyZNXXOz+HDRK1b57lRDhwgSk0lcnUlatmSSEmJaNo0omvXWBu6/O3f4uOZayU4uHSfg6PYoADXChe1wlFkcvg5sNhmgX2996G9SXsExgWi3cF2CJkWgmpK1dDzRE8kZyajoV5D8ImPXT13STXPgDMDYGdkh5mtWcnXdY/X4Xnkc5z544wsHwdbn26Fobph+Y1UMTFh2aAWFnmynBxAW5tFp0RHswYXX74wCzo9HRg8GPjwAahalW2GhoSwcrvp6cDWrczyXr26rJ6IQ0oKilrhLHIOqchvlQuscQHPPz8nww2GBVrjheVV9CvSX69PqVmplJKZQnrr9GRqjZc4UVFEM2YQNWpE1K4d0aFDbBOxqDRoQOTlJSpLSiJSVc3bsLx1i6h2baIzZ4i+fGGyrCxmrbu7M/nQoUSjRhHdvCndOjjKHHCbnRyyZJj1MLg8cMEenz24GXIT27tvF56zNbSFjYENaqrXFPGNFxXrGtZoY9QGu7x3IZefC4faDrDSs5LF8kuehASWYdmzJ3DwINt8XLIECAgouiU8fDjg7MxqmispsUzOFStYjLeaGrvGy4ttVv7xR959iorMUvfyAhYsED3HUangFDmHVCjIKWCR/SKMvjgaKx1XoppSNZHzpwechoJc8f+8ljgsQZdjXcAnPtxHuBd7vFJj927Ww3NzvmZZrVqxzMu//wZq1Cj8WLNmsWiVevWA9u3ZZqeKCutOJEBfn0WrfE9ICHuZcFRquIQgDqkZZj0MU1tMxZQWU8TOqSiqiNRTkRaBVV6hrHGAFcbq/V0hrurVAVtbppSLQpUqwJkzLEqlc2dgxw7g2TMWeSJg4ECW5HP6NLPYiVjooacnZ4n/AnCbnRzlntSsVPB4vDIpeys1U6YwK3nRojxZbi7Lqrx2jTVhljXe3sCoUSz+mwjQ0AAOH5actclRISmxolkcHCVFVm4WQhNCJZ6rq1UXSgpKpbyiIjBhAtCxI/OTt2/PokUWLWL9O0tCiQPM2n/9GggMZLHh9euz/3JUejhF/oty4MUB3Ai5ISaXl5PHuk7rUKtarTJYlSgnXp/A+MvjYaptKiIPTQjF1m5by6ymeaFo1Ag4cCCv/VtyMsugPCPb0EkxeDzRMEWOXwJOkf+iJGYkwi/GD8s7LBfKwr+GY9WjVdjRfUeB9/GJj4C4AEhyyRlpGIltehaHAZYD8M+df3Bu4Dlhj83g+GC03t8ag6wGyWyeEqNnT6B7d1bYKjKS9fDU1CzrVRWenBy2oRoQADRsCHTrxkrccpQ7OB/5L0padhrqbamHG0NvoLE+a0Aw7tI4GKobiij37/GM8ITdATvoVtVFRk6GUJ6ek47aGrXRvGZz7O21F2pV1GSyTtdHrngV8won+p8AAIy8MBL1tOphicMSmYxf4rx5w9Llk5NZck5yMrBvH9u0LM/ExLByuBoaQOvWwP37LOFoyBDWb7RTJ0COi5UobQrykXOK/BfGzdMNjyMe4+zAswj7GoYWe1sgaGoQtFW0C7yHiNBsTzMYVzNGYmYi/m75N9Ky0zDp2iQMaDAAHh88EDAlQCahhwCENcvvj7wPBTkFtN7fGiHTQqCpXAEs26wsFm7o7Mw2IXk84N49FkXi68tKy5ZXRoxgIZLr1gHv3jHFraDA6rrw+axl3ZUr7OXEUWpw9cg5xJhoOxFPIp7gVfQrrHq4CpOaT/qhEgcAHo8HZwdnhH0Nw+uY12hVqxXeJ75Hr/q9EJ4YjkX2i2SmxAFArYoaZraaiRUPVsDloQumtZxWMZQ4wKJT6tQBRo/O23Ts0IGlzx85InptQABT+PPns/6eZWBgCSEC/v0XmDePfXZyAhYuBB49Ymn/vr5MobtxLXrLC5yP/BemqmJVzLGbg8nXJiMgLgBBU4MKdV9v895w9nBGO+N2WOGxAv+++xcbOm/Aco/lIm3ZpOXAiwOITokWfs7MycSlwEsAgE8zP4lcyyc+4tLiJI6jo6IDebky9OnGxjJF/j116jCFKGDPHhbRMmIE86MPG8b865s3l13UCRHzh0dHM/fQ+PHMtcLnM/ns2ax2S/7wSo4yg7PIf3Em2k5EcEJwoaxxAfmt8kOvDsHe2B6HXh6SmTW+22c37oTdQUpWClKyUpDNz4aJpgmqKVUTs8aP+R2DwQYDWO2wEjkMNxhij8+eYq+lWNjbA9evi3alz81l1q6DA/scEwP88w9Lo1+/Hli2jGVuXrsm2sWnNOHxWB3yDRtE5evXs/K2HOUPSQVYSvrgimaVLwLjAik9O71I9/D5fGqyqwnJL5Mnm902VG9zvZ+Wpi0slwIukfVOa8rl5wrnar2vNZ18fVLs2q/pX0nHVYeC4/NKsn5M/Ehaa7QoJiVGJuspFpMmETVrRnTqFNHly0TduhF16ECU/f/f1aFDRAMHit/n4sIKbpUVnz4R1alDZGREJC/PyuLq6xN9/kyUk0PUrx/R8uVlt75fFBRQNIuzyDlQX6c+lBWUi3QPj8fDhs4bMLnFZLz58kamvvGe9XtCQU4BFwIuAABuh91GYkYi/rAUTzXXVNbE1BZTsfLhSqFszaM1GNdsHPRU9cSuL3W2bmW1Uo4eBTZtYoWurl1jG4cAK2yVkSF+X2YmOycrcnPZ5mthUVFh91hbAwMGsDIBmZnM5WNrC3z9yp6Lo3wgSbuX9MFZ5JWLgC8BQutZVuS3yguyxgXkt8rLlTVeGBITibS0iJ49y5N9+kRkYCDaZ1NakpKIJk4kUlMjUlQkat++cOO6uhINH573OSWFaOdOIhUV1tQiV7b/3hyFA5xFzlFSmFc3hxxPtn9KAqt88tXJBVrjAvJb5eXKGi8MgnooXbqwsMRRo5gVPHOmaJ9NaRk8GEhLY1UQU1LYRmqXLkBExI/v8/ZmCUACVFVZlmqHDkC1alwMeTmDi1rhKJcINlR7n+qNk/1P/jT6ZHqr6TDdYsoyT6cElNIqZUSvXkzRXrrE3CzLl8smxtzfH/DzA8LD81w5Y8eyeix797J5CsLEBHj1iiUzRUUBM2aweuiZmezF0Lix5IgcjjKBU+Qc5ZJcfi6+pn/FqCajkJiRKBKBUkezDjrV6yRyvaayJhbbL0ZadppEa5xPfNwNv4vMnEyxc7U1a5d9iVxtbWaNy5KgIMDGJk+JC2jRgr00foSTE8vobN6cNcTo3BkYOZIlB3XuDDg6sheFqqps18whFZwi5yiX5PBz8PfNv9GyVkv4RvkCYFmet0JvoapiVXQ36y5yfQ+zHpjeanqB4yVlJqHHiR6wNbQVCWF8++UtGuk1wqU/f6LYKiJWVqweeUYGoJxvM/vePea++RGmpsB//7FkpogIdnTvDpw/z7I6PT1ZAbDRo0v2GTgKBafIOcolSgpKmNl6JoLig7CnF7PGg+ODcdL/JH63+B1N9JsIr131cBWsa/xYMWkqa2Jc03FQq6IG106uAPKaSM9qXc6jL4iYda2kxFwe+eWPHuUVtWrdWjSBqH59Vkp3wADWXk5Xl1VkvHatcM0tHByASZPY3Bs2AOrqeedatACCg2X2iBzFg9ux4Ci3TG0xFddDriMonmWcPvz4EAZqBtBX08dE24mYaDsRtoa2IBDGNh370/HmtZ2HfS/24UvqFwAsmchYwxgOJg4l+hzF4uFDoEED5s5o1Qqws2MKNDGRKdoJE1gy0ejRTGnnTz4CgEOHWLhgr16ApSXzjz94INpd6EdYWwPPn+f1BhVw/z4r1ctRLuCKZgEIiAuAywMXiecGNhyI3ua9JZ7jKHlcHrggKD4I+3vvh/k2c6zquAqTr01G8NRgaKtoo9fJXuhm2g2Tmk8q1HiTr06GWhU1rOy4EhbbLLC/9/7yq8gjI9mm4oEDLH6bz2dt3jZtYj5qHo/1BuXx2LnRo1kUzJYtslsDnw+0bctqnC9YwGLbN24E7twBfHzYtwSOUqNEi2bxeLwDPB4vlsfj+ctivNJGQU4Bp9+cRqtardDVtCu6mnZFl3pdhGniHGWHwCpffG8x6mjVwWCrwfjd4nds9NwI70hvvIx+WShrXIDAKt/oubHkrfHbt5kFraTE3By7dhWtGNaRI0D//sya5vFYjZOpUwEDA+DYMRZ1InClyMmx9P4TJ2T7DHJyrMyAujprJt28Oet2dPcup8TLEbLykR8CsA3AkZ9cVy4x1TbF0EZDEZ8WL2wk7B7mDk1lTQxqWAEaGJQRufxcXAm6gvScdADMhx2XzgpY6aroon71+gAAFQUV9KjfQ6pYcw1lDUxvOR2L7y2GxygPAMCCdgvQfG9zPIp4hPlt5xep5ZuRhhEGNxyMuXfm4v7I+0VeT6F58AAYPpxZ0F27sjDAiROB1NTCZ0RGRbEXwPfUr8/cKd9HjKipSc4SLS4aGqyA1+bNsh+bQzZIyhKS5gBgAsC/MNeWx8zO4Phg0nHVoa/pX4nP51PbA23puN/xsl5WuSYtK43UVqmRw0EHGvTvINJfr0/qq9RJfZU66a/Xpz/O/EH2B+1JbZUapWWlST3Pt4xvtPXpVhHZ2ItjqeaGmpSRnVHk8T4nfaal95ZKvZ5C0a0bq6OSn4AAIj09oqyswo1x6hRR27ZEfH6eLC2NyNCQ1WtZs0b0+mXLiAYPLt66Oco1KCCzU2Y+ch6PZwLgChFJDMjl8XhOAJwAwNjY2OZD/jKe5YRRF0ahjmYdtDVui8nXJuPNpDdlWwa1ArDAfQHi0+Kxu9du3A2/i7+u/IVcysW+3vvQ3qQ9Jl6ZCG0VbazquEqm8yakJ+BT0qefRquUGSYmzP1Qt66ovEYNVt3QwODnY2RlscbNhobA5MksEWf1ahYauHgxO9e2LXPfPHwIPHsGeHgAtWuXwAOVU/z82HMbG7PNXila0Wlrs9Ix36OlBSQkyGCNMqTEOwT9TJHnp7xtdgoISQhBq32tUFerLv5u9TeGNBoi8zmmX5+OpKwkMXkdzToVp31ZPuLS4mC+zRy+Tr4w1jCGxXYLyEEO76a8w4fED2i2pxkCpwSietXqRR47KzcL4y6NQ1p2mtg5Kz0rOLd3lsETlBBdujDXyrB89dlDQpjS/fSJFaEqDCkpbPPy0iUWC/7nnyxVXl6eRa4cO8aSdBo2ZHNVk6JnKhFbk4oKUL3o/05lQnY2S1B68IB1L/L3Z77769cBI6MiDcXjSd66KEhelhSkyLk48nyYapuiZ/2e8PrkVSK+cSLCw48PYaVnhQ4mHYTy/979h4T0cvbqLyTVq1bHBJsJWPVwFbb32I6UrBTI8+SRw8/B6kerMcFmglRKHGCb0D5RPnA0cRTZlNztsxufkj794M5ywD//AEOHsmbL3bqxdHcnJ1ZDpZ4dHC8AACAASURBVLBKHGB+7wUL2PE9mprAlCnFW6eHB7P24+KYf71dO5a+r69fvHFLmm3bWOOO0NC8TVcXF9YA48aNsl1bWSDJ3yLNgQruIxeQkJYgUtta1lwMuEhNdjUh/v/9nmlZaWS4wZB8In1KbM6S5kvqF9J21abl95eT/QF7anegHbl4uJC2qzZ9Sf1SrLFPvT5Frfa1Ev6+4tPiSdtVm8ISwmSx9JLlyhUiGxsiHo+odm2iTZuYvzslhfmzmzRh511diTKK7usvNmFhRNWrE126xNaVlkY0fz5R8+aifvnyiI0N0b17orL0dCINDaIvRfubA4omL0tQgI9cVkr8JIAoANkAPgEY+6PrZaXIv6R+odiUWLEjK6eQm0llAJ/Pp6a7mtL5d+eJiGiz12bqfbJ3Ga+q+My/M5/gDLoXfo/cw9wJzqD5d+YXe9yc3Byy3G5JN4JvEBHRIvdFNO7iuGKPW6rkV4rZ2WwD848/iB4/JvLwYBujPXuWvvJcsIBo1izxtVpYED15UrprKSoNGxJ5e4vKcnPZi+nTJ/HrP3xgjTratiUaOpTI01N4qjIocpm4VojoT1mMUxQefngI+0P2Yl/bv2V8w4xWM4Rp2OUNHo8H5/bOWHp/KTrX6wzXx664/Oflsl5WsZltNxsaShpob9IeRISVjisxwWZCsceVl5PHEvslcPZwRvOazbHDewe8x8tuf+Xgi4M46ndUTM7j8bC56+ZCFdNy83TDXt+94mOAh+P9jqOpQb5ytFevsk3MU6fySsG2bs3qojx+zDYvi0pqKvMR6+kVrSJhRAQrSyuyaB7zt0dEsHWVV3r2BLZvB/bvz4ul//dfoFYttjmcn9BQ5jIaNgxYsYJlt/7+OwsN/f33ElleqW+gStLuJX3IwiLPzs2mepvr0b3we0JZSmYK1VhXg17HvBbK4tPiKfxruNgRnRxd7DVIi8Aq73qsa6WwxksagVXucNBB5tb4Gf8zVHNDTboTeofcw9zJPcydjrw8QlVXVi10c4orgVfIyM2I/GP86W3sW3ob+5bOvztPWmu0KDE9UfTiBQskt0ibPp1ow4aiP8DWrUTa2qydnJ4eUdeuRHFxeeeTkoj27iWaO5f9NylJ9N5+/UTHS05mVm1oaNHXUpokJBA1bkzUuTPRli1ETk5EurpEXl7i144eTeTsLCq7f5+oXj2i3FzS0mLW9/eHllbhllKU+4tr5aMkLfKyQEFOAYvtF2OZxzK0N2kPANjpvRP2te1FrCjHw474+O0jqinl7ean56QjOTMZyfOTZR5eGJMSg6RM8agUdSV16KuxDSSBVd7nVB/4OPnIdP4fcfDFQUy5Lnlz7FCfQ/ijYcHNG4pKbGos+MQXk2spaxUpgQfIs8qHnR+Gg30OymqJAID+lv2xzGMZMnMzhRUVp12fhkm2kwrdnKK7WXfUUKuBwPhA9GvAmhOverQKM1vPhIayhujFtWqxSIvvefuWRbQUhCB8In9RrBs3ADc34OlTFpKYlcU2WUeOBK5cYQW1undnafapqSyBaOZMVjSrbVt23fbtrDDWuHHMVHR2Zg2Wvw+bLG9oabGkqNOnWfhhnTosFFHSJu3Dh8CcOaIye3sWERQZiYSEWsVaytev4tEtPJ5ki7zEkKTdS/qQlY88v1UuyRonItr2dBv1PNFTRDb75myacnUKERG9in5FHQ93JMfDjmLHkZdHirwmk00mpLdOj0y3mAqPGutqUI11NUSu4/P55BnhWcAoJUNYQhhprtGkj4kfKSUzhVIyUygoLog0VmtQVHKUzObxivAiOIP01ukJn73GuhqktEKJpl+fLtWYufxc8o/xl9kavT970xn/M3TG/wzNuDGD6m2uR6f9T9MB3wNStYq7EnhF2Jou4EsAVV9bXdwaJyL6+pU1MT58mDUxzspilnHt2pI3PJOTiaZOZZt4CgpEPXoQvX3LzvXtS3TwoOj1GRnMon77lkhdXbKpqK7OxiUiio0lmj2byNKSqGVLou3b2boqE3Z2bOM5P/HxRNWq5f0eioEkK1vwqy7MtUWbq5JZ5ICoVd7DrIeYNQ4AY5uNxepHq+Ed6Q1bQ1vEpsZi/4v9eP3XawCAblVdPIl4gr299gotZgJh+PnhUKuiJjbnz5hgMwGvY1/jeL/jQtmYi2NgVE00tpXH46FVrVZFHr841NGqgwENBmCv714s78C6w2x7tg1jmo4RPrsssDW0haWuJdw6u6GLaRcAQHp2OuptqYeRjUeKXU9E6H2qN5Izk8XO1depjz299kCOJ4eGeg1ltsbVj1bjZfRLNDVoCiLCl9QvWPlwJfxj/YtkjQvobtYdzh7OuBBwAecDzmN6y+ni1jjAQgavX2dhcrNmMWu5YUPg1i3JtUsGDmQOV39/9t99+1jBrJcvWfjd9z5xJSVmlZ44wcaWBJ/PLNmxY1lp23Xr2FFZmTgRmD+fFSCrVYslVk2bxsr7fl/VsaIiSbuX9CHL8EOBVa62Sk3MGheQ3yrPb40LmH59Os24MUP4+WLARWq8s7FUDYWTMpJIb50evfvyjoiIQuJDSMdVhxLSEoo8VkkQlhBGOq46FJ8WT5+TPpPWGi2ZWuMCvg8b3Oi5kfqe6ivxWj6fT/YH7Wnqtal0L/ye8Oh3uh+NuTBG5msjIvKM8CQjNyNhiv8Z/zOk46pDSiuUpG7cfCXwCtXZVKdga/x7IiKIIiMLPv/iBZGxMYt0yc/48UQrV7JQwb/+Ej3n7898xbNmSbbGBce8eUV/wIoKn0/k4sKc1jY2bE9h8GAWBioDyoNFXuEVORHRf2/+o0lXJhV4Pj07nWpuqElXg66S1hot+vRNNDwpMilSqNAEG5Hn3p6Tej2rH66mtgfakupKVVJYrkCKyxVJdaWq8Njvu1/qsWXBuIvjaPHdxTTt2jSRF5gsyR82mJaVRgbrDcg3suDu7XfD7pLZFjPKzmVKKyEtgXRcdSg0oeQ23boe60o7n+8kIvY3IL9MnpwuOUk9Hp/PpxZ7W5CLh4tsFnjqFNGAAeLygwdZh/uYGKI6dYgmTCC6fZto1y4iIyOiffvYxqaqqmQlrqrKrilLMjKYm6k0Qy6/fWOboZLCE4uBJOVc3A3UgueqxIq8MGx7uo2UViiJWeMCpl+fTjNvzCyWNS4gKSOJdFx1SHWlKmmuZj7p5Mxk+pj4kTTXaJaocioMYQlhpO2qXWLWuACBVe72xK1Aa1yAwCoX7EssubukxKxxAZ4RnmS80ZgyczJp1s1ZNObiGMrMySzWmKlZqcJvIcXGz4+oVi3xIltjxhCtXs1+jokhWrSIyMGBaNCgvCSZpKTC+chLm9RU9i1CXZ1ITY0lRd25UyZLkZWyLSmlLYmCFPkv01giIycD/c/0x56ee1CzWk2x81HJUbDaaQV9NX24dHDB7w2KF1+65tEaLLy7ELYGtng6/ikAYOm9pfiU9An7++wv1tiyoMmuJvj47SN0quqIyBXlFHF7+G2Jv6OiksvPhfUua7xPfI9Hox+JxlNL4F74PUy4MgFPxj6BxTYLPBv/DHW1ZB89kZWbhatBV5HNz8bqh6thpmOG8wHnoV5FHUoKSqgin5dCryinCI9RHjL5fUhFnz6sxsqqVXk+8k2bmI9cV/fH90qKWpGTy4taKQsGDWJr2LyZ1XW5epX56t3dS73jkDQ1Vsq6wNYvX2tFWUEZV4dcLfC8gboBhlsPx/3399HHok+x55vcfDLcw93hHemNyORIqCioYPvz7Xg2/lmxx/4R3zK+ITwxXEzOAw8N9RpCQY79k0+wmYBDLw/hWL9jwmvuht+Fm5eb1Bufjz8+xsSrE0VkqVmpUJZXhm+U708VeXuT9jBQN0CXY13Qx7xPiShxAPia/hUD/xsIxzqO0FbRxr9v/4VuVV18y/wGBxMHbOqyCQBwO+w2NnptlOlGcJE5eRJYupSFJiYnM8V8//7PlTjAlHVkJNvYDAlhIYqDBv14g+/TJ+DoUbaRam/PmlooyEhNfPzIFHZEBCvQBbDxZ8xgtVN275bNPD/ge0UsiOYsrCKWFGqYf5wyQ5KZXtJHea21kpGdIfVGV0HMvDGTpl2bViquAiKWwq66UpUa72wsPKx3WhOcQe5h7sLrMrIzyMjNiLwiWAIFn8+nNvvb0LFXx6SeOyo5ilRXqtKN4BvkF+1HftF+5BvpS9XXVhdJ3PoRd8Pukvwy+RJ3P429OJYW311MRESuj1zp3Zd3JLdMjg6/OExE7PfRal8rOvX6VImuo1xx6xYLXfzrL6K1a4latCDq2JHVMJEFHh5EbdqIy69fJ+rUSTZz/IT8/uzC/Pyj+wsjlzX41V0rZUV0SjQst1uCx+Ph+fjnJWZlCviQ+AFNdzdF0NQgYfmCmyE3MfPWTLz+67VIl55d3rtwKfASrg29hjthdzD52mS8nfT2h0lSzz4/w/Xg6xLPjWoyCluebkEOPwebu7FuModeHsLhV4dxb+S9Qj9DZHIkDNUNf35hMQj7GoYWe1sgaGoQtFW04ebphmN+x6Cnqocbw24If2d+E/1+jZr0OTksCejQIRbeCAC5uSwVvnt31mKuuHz5ApiZsW8H+cvlzprF3C2lEAKZ321SmJ9/dH9ZuFlKtGcnR8EIOr4PajioxJU4ANTWrI2BDQdiw5MNANg3LmcPZyx1WCrWam10k9Hwj/XH009P4XzfGUvsl/xUafnF+GHrs63gE194ZORkYJnHMsSmxmJOmzk46ncUkcmRyOHnwOWBC5Y6LC3SM0ijxA++OIi1j9eKHQdfSM4EratVF30t+mKT1yakZadh3ZN12NNzD97FvYNnhCecPQr3+6g0vHrF+nIKlDjAap5PmgRcvCibOXR1WQZpr14s2/LjR2DNGhbz3qULcO8ekCSeFV1eEbhZBIpd8HOpZnT+n1/GR16WrHRc+dNr1j5ei8C4QDG5ahVVuHVxE/q2C8P8tvPRdHdTzLKbBZ9IHyRlJmGA5QCx65QUlLCg3QIMOTcECnIKGGw1+Kdjj2g8AiserEA3s27ChKY9PnvQuV5nNK/ZHAB7Qbg+ckVTg6Yw0jASllAoSbY82wJtFW3YGNgIZb5RvviS9gWjm46WeM+CdgvQYm8L8IkPOyM7KCsqo1a1Wuh0tBMU5RVxI+QGbobeBAAMbTQUHet2LPHnKDOUlFhjBiJRh296umybLK9dy4pVCWqgt2zJilyNHcsaQrx9y/YEpk+X3ZwFoKUl+qj5/eUVDU6RlwI8Hg/Jmcl48+WNxPPWNazxIvoF4tLiMLhhnjJ9EvEEt0JvFblpscAqX/9kPTw+eEi0xgWMbjIaax6tgUsHl0JZn1Xkq2BB2wVY5rEM14deR1ZuFlY+XIlT/U8Jr5nTZg4st1viQuAFHO57uEhrl4bUrFQ4NXPCLu9d+Mv2L/B4PBAR+p3uhwVtJTRk+D8Cq3zlw5V4OeEl+MTH009PoamsiT8s/0Dzms1BRJhze46wDkulpWFDtgl65AirwQKwWiTr1gF//y27eeTkWDMMQUMMBwegRw+mvOXlgffv2beCBg2Azp1lN68E8rs/CtsNSBrlXxoumAqjyIecHYKrweJRJ0rySng7+a3UXWhKi6N+RzHr1iw0rtFYRO4T5YMjfY9gsf1idDjcAecHnYdaFTUQEQ68PIAlDksKpci9Pnlh67Otws+pWanY57sPqlVUUUO1RoH3KSko4d3kd1BRVCn0s4xuOhqrHq2C1ycv+MX4oUH1BmhtlFfyVF9NH2OajoFvlG+hrPGP3z5i6f2lEots9TDrgYENB/7w/uk3puPk65PI5mej5b6WqKpYFalZqYhLj0MD3QY/vHepw1JY6VmhsT77d+lj0QetarbCnDasyNLVoKuoWa2msBhWpYXHA44fZ0r18GGW+n/tGgt//LOEqlQHBTF/ubt7Xq9NExPWDWnfvh8r8uhodk1gIHsJCcoN/ITvFXF+eWGQRvmXRqRLhVHk9rXtEZUShQuDLghlJ/1P4qjfUeio6PzgzvLB0EZDsfT+Uhz5/Qjq69QHADz//Bz9zvRDvwb9oKSgBMc6jtjxfAfmtpmLO2F3EJ8WX+iWc3zi4+zbs9jZY6cwDlpRThGXgy6D8OO/tqIocSDPKl90dxGCE4KxvtN6dDjcQUQRExH4xMeWp1swreW0H46nKKeIU/6n4OzgLBLqt8xjGWwNxPZ1xBjXbBxuh93G2t/WYr3nejwb9wxmW82gpaKFRno/jk020jDC363yLM4l9kvQ9XhXTG4xGSoKKgXuL1RKGjUCgoNZbHdsLNuEtLQsufkSElhdmO/DG42MmNulIN6+ZY2W+/QBfvuNVZNs2pT52M3MfjplpURSKEtJH9KEH34fLpeTm0PmW83pVsitIo9VVqzwWEHDzw0Xfu5xvAdtf7Zd+PlN7BvSW6dHyZnJZLffjo77HS/S+J2OdKI93nuEnw+/PEwOBx2KvW5JZOZkkpGbEXU52oUS0xNJa40W7fbeTffD7wuP+lvrF7ocwff1bnwifchwgyGlZxcu9K3rsa6049kOarSjEU26MomUVijRtaBrUj1bv9P9yO2JG10JvEJWO6yKleXL8QPS0oh0dIjevBGVDx9OtGJFwfd1784qRuZnzRrWdakUKWxGpyxDFlEZUvR3Pt9J3Y51IyKi437HyW6/nezSoUuBxPREqr62OgXGBdKzT8+ollstYdEmAYP/G0zdj3cn863mlJNbtHKijz48otoba1NmTiZl52aT6RbTQsdvS8OTj0+E8d4rPFbQsHPDhOcevH9AdTbVKXTbvfz1boiIep/sTVu8thR6LYJ0+1OvTxGcQWZbzKT+23gZ9ZL01+tT011N6d83/0o1RlBcEHU41IEcDjqIHduebpNqzErJ/v1ENWsSbd5MdPEi0ZAhRA0asMYRksjNJZKXZy+B/MTHsxoy5ZDSUOQVxrUCsI25VQ9X4UnEEyz3WI6t3baCV+YpVYVHQ1kD01tOh8sDFySkJ2B+2/liTRYW2y+G1Q4rHOt3rMihb22M26C+Tn0cfnkYSgpKqKles0QjRvL7xae2mArTraYIjAuEeXVzLPNYhkX2i6Aor1iosQzUDTCi8QisfbwWw6yHwTvSG6cHnC70WlrVagVLXUt8SfsCAzUDbO66Weq/jcb6jWFnZIeg+CCpfeO6qrrwjfLF+s7rYaptKpSPvzweqlVUpRqzUOTksHC+CxeYy2LwYNbOrLz+fzJmDGBuDuzZwxplODiwZheampKv5/GAqlWZj6RmvrIJ8fGVpyStNEjS7iV9FCezc+fznVRjXY0KZ40LSExPJB1XHYnWuADPCM8iW+MCBFZ5SVvjkhBY5UW1xgUIrPJ2B9oVyRoX4BnhSUorlETK50pLTEoMBccHF2sM53vONPL8SOHn++H3qd7mesIKjzKHzyfq3581Ujh2jOjAASJra6LJk0tmvrIgI4Po999ZizdBI46sLPbcc+eW7doKQJZFtVAZXCtEzFdusc2C7oSWTcU0WXDA9wD99+a/Ehu/05FOJeYb/xEC15H1TmupS/VOuDyBtNZo0anXp+jc23Mix/flhyXhdMmJ7offl2puWfM1/SvpuOoIXwgdDnWggy8OltyEt2+z7vKZ+So4JiURGRgQvZZcq79Ccfky60tqa8uqJ8rLE3XowFwzffqIu1sqIQUp8gqZos8n/q8RRSAlUclR4BO/TCr2uTxwwYEXBxA4JbDQbpX8nHlzBkPODkHP+j1FXCN3wu5gTcc1mNxisiyXW+Isu78M4YnhGN1kNMZeGouAKQFFSu4qEvPns2JUS5aIyv/6i8VlT/tx9FC5JiKCRaZcvgy0/r9Lb9MmFn9++zbQokXZrq+UqFTVDzkl/mMM1A3KbO55bedhfLPxBSrxbxnfsP7JemTzs8XONTdsjv4N+sO8ujn+sv1L2CbOP9YfTyKeYGQT8TZx5Z3prabDdIspXkS/wCL7RdIr8Q8fWLJOfDzQvj1Lc5f/bg9FW5vFZX/P589AmzbSzVteOH6ctb1rnbcvg7//Bu7cYc/8iyjyguA0YjkgNSsViRmJYkdGTkZZL63IKMgpoIZawQlIfOJj09NNSM5MhqaypvC4EnQFjyMeQ15OHkvsl8DZwxmCb4srHqzArNazpOqhWtZoKmtiaoupSM1KxTDrYdINcvUqYGPDik7VqgWsXMkSd7KyRK8bMgT47z/g8eM82eXLwNOnQN++0j9EeeDrV5bK/z2GhpU4OLzwVEjXSkVl8d3FuBgoWoCIQHgT+wbKCsoiDQ0yczNhXcMaT8c9Le1lljgL3BcgIT0Bu3ruApBXIfLNpDcwUDcQNqRw6+yGWtVqwfGII0KnhVZIRQ4AOfwcxKfF//AFVyBZWUDt2kxBC6zq3FyW9ThwIDBhguj1166xSBBjYyAzE/j2jdU0z2/JVkRu3WIJSj4+QJX//3/y7RuLeLl3j7mOfgEqlWulomKkYQR5OXmR+iNen7ww8+ZMzGg1AyscVwjlfU/1hWMdR0nDVHhmtp4J823mmN92Pmpr1sbax2sxovEIoUsov1VurGFcYa1xAT/7lvJDvL0BAwNR14i8PPN7Hzworsi7d2dVBb28WPhhy5biLpiKyG+/AfXrM7fSpEnsJbVpE2uU8Yso8R/BKfIS4rjfcbyIfiEiy+XnIuxrGOJS4+BYlynpubfnYl7bedjktQmz7GZBU1kTL6Je4Hnkc5zsf1Ima0lIT0BkcqSYXEFOAeY65qUei1+9anVMsJmA1Y9Ww7m9Mw69PIQ3k0QLig2wHIDlD5bjbvhd7O9d9q3xygwlJSAtTbwqYVpawVUJq1Rh3X0qE3JyrNPRyZPA+fOAoiKwYgVL0+fgFHlJ8fDjQzyPfI4/rfIKDgXHByOXn4vVj1bDsa4jPCM88S7uHS79eQkhCSHY7LUZS9svxTKPZfinzT9FroFSEDNuzsClwEuoqZ4XxZLNz0ZQfBACpwQKa7+UJgKrPCE9QcQaFyAvJ48d3XfgS9qXCmGNExFiU2Ml1rXRUdGRKoIHAIvUAJgCGzKE/fztG7BhA7B4sZSrraAoKADDh7ODQxRJMYklfZTXVm+yJPxrOGm7alNcapxQNuTsEFrhsYKMNxrTk49PqMvRLrTbezcREQXHB5OOqw7dDbtLhhsMKS1LupjYnNwc8o/xp9cxr4XHsVfHSH+9vsha9vrspd+O/Fa8hywm8+/MJ2UXZYpMiizTdciC26G3Cc6gGutqiByKyxWFLeWk5sULFivt6Eg0ahSLpZ4+nSUAcZQaskzskRaUZEIQgK4AAgGEAJj3s+t/BUVORDT+0nhacGcBERG9+/KO9NbpUVJGEu323k3mW83JeKMxZebkJW+MPD+SVFeq0mavzVLPeSf0DsEZZLndkhpubyg85JfJC+vUZOZkkskmE3r44WHxHrCYfMv4VqETu/Ij+J0++vBIKBMkSAXFBRV9wNxcInd3okOHWFGpjAyis2eJdu8mCgyU4corLqWtWAW1UcpSoRekyIsdtcLj8eQBBAHoBOATgOcA/iSitwXd86tErbxPfA+bPTYImhKEaTemoZFeI8xrOw9ZuVkw32aOBW0XYLzNeOH1IQkhGH1xNG4NuyW1WyWXnwurnVbY0nULOtXrBACIT4tH3S11oVZFDeHTw3Hk1RGcfnMat4fflslzFoXLgZcx985ciedcOrigv2V/Mfmhl4cQ/jVcTK5WRQ2z7GaVm7yCfb77cObNGdwafgsAS44KTgguWnONhAS2UTlnDvMDN2rE6nX/9htw4IDsOtpXAgqqB17YOuHSzvf9+AXJS4KColZkochbA3Amoi7//zwfAIhodUH3/CqKHACcLjshMSMRHh88EDI1BOpK6gCApMwkqFdRL5GNxpOvT2Lb8214NPoReDweFrovRFxaHD4mfUR30+5w83LD0d+Poq1xW5nP/TNCEkLQeFdj3Bl+B5rKrDBSSlYKHI844um4p7DUFa9/3eNEDyRlJuG3Or8JZX6xfvCJ9EHY9LByo8gFL+hjvx+DlZ4VTLea4smYJzDT+XGNbAAspHDOHKasiVjY4ZgxwObNQHY2ixvv06dUWqBVFDhFnocsXu81AUTk+/wJQEsZjCsR5/vO2Oi1UUzOAw+3h98W9o0sLyxotwBmW82wosMKoRIHgGpK1UpszoENB2L5g+W4E3YHzQyaYZfPLvg6+SIqJQrtDrZDe5P2ZaLEAcBU2xR/WP6B22G3scSBpZK7PnJFz/o9JSpxAFjUbhH+PPsn5rebL4y173y0Mxa2W1hulDjAGm4sbLcQyzyWwb62PbqbdRdT4pu9NmOv716xe3lxcTgaWBNNnj5lIYOhoazlmosL4OzM0u5nz+YUOYdEZKHIJZmUYu8lHo/nBMAJAIyNjaWerL1Jexx8eRC+Tr7CdGffKF8MPTcUVnpWUo9bUphomuDG0BsiJV9LAt8oXxzzOyb8XEezDkZeGIla1Wqhg0kH1NasjdqatTHJdhKGNy7bXf9F9ovQen9rTGs5DQpyCnDzcsO9kfcKvL61UWtYVLfA4ZeHMd5mPB5/fIyg+KAyS9lPzkzGco/lyMrNEjvXWL8xghOC4fXJCz5OPmLn62rVRVJmEq4MuSJ8CQXHB2PM0QEwcf4XUFVl4YP6+sC2baysq7MzUK0aa4TMwSEBWZgznwAY5ftcC4BY0DIR7SEiWyKy1S1Eb72CaG/SHnW16uJq8FVoKGtAQ1kDm55uwry282QWridrOtbtiKqKVUt0jpiUGOzy3gVDdUOWDVnHEbn8XDyPfI7fLX4HACx0X4jo1Gise7IOg/4bJDzGXhyL4rrYioKptil6mPXAlqdbsP3ZdjjWcSzQGhew1GEpVj5ciazcLCzzWIaF7RaKZMKWJjweDwdeHkAu5aKuVl3h8SjiEV5EvYDrb65wsnGS6FLpWb8ndFV1EZIQAis9K1jpuq/e9AAAIABJREFUWeFC4AXMeCYHTYsmrMa2oSFw7hxQty5ruZabC+zcCfTsWQZPyyEgf79PHi/vKGy/z5JEFhb5cwBmPB6vDoDPAAYDGCKDcQtkqcNSjL88HkMaDYFfjB+8I71Furj/inQ17YqGeg1hommCAZYDAABxaXE48foEhjRi/xyhX0ORmpWK4dZ5FvmdsDvwjfaV6VqefX6GD4kfxOTKCsrobtYd8nLyWGS/CK32tYK8nPwPrXEBAqt84pWJZWqNA2yTdXbr2fD/4o/prZirIzY1Fss8luHi4IuoVa1WgQ2jeTwenB2csejeIvS16IvQhFBcDbqKEMW2LA1/9GimtHv3BnbvBurVYz9//Ah4eJTmY5Z7ittIuagISrpoa7PSLwK+fi17hV5sRU5EOTwebwqAmwDkARwgojc/ua1YtDdpj1rVauHE6xM4++7sD5Nnwr6GITQhVEyuIKeAtsZtpU/UKGcIFMQ893no16AfiAiXAi9hf+/9wg3VxfaL4XjEEacGnIJaFTXwiY/Vj1ZjRYcVEjddZ9+aDb8YPzF5VcWqOD3gtFh3IwHO950R+jUU1jWshbLY1Fh4R3ojdnYsVKuowlTbFL3MeyEzJ/On1riApQ5LYXfADnt67ikza1zAlBZTUG9LPQTEBcCiugXWP1mPIY2GoFa1Wj+9t2f9nnD2cMaFgAu4GHgR01pOg2b7rmxDMyoKaNcOcHJiKei//cYqHQ4ZwjrjcAiRVCtLoGS//3PW0pJdba3yWKOrwhbNuv/+Pgb/NxjycvIImRpSoCIfd2kcrgZfFfGfp2en43HEY4ROC0VdrbrFWkd5gojQaGcjdDPrBj6fj6vBV7Gq4yrwwIOivCI61+uMEedHoJlBM8xtMxfn352Hy0MXeI/3lqjIJ1+djLDEMMxoNUMouxlyE3ff34Wvk2+BETf339/H+Mvj8W7yO+E+xuSrk6FWRQ2unVyF12XnZoNARVLKZ9+eRS/zXiWiyEddGIXbYeIhmUrySvB28oa2iraIfPXD1fD/4o+NXTbCYpsF/P7yk6jIXR64YJf3LhFZek46vmV8g3oVdYT/Hc4ieN6+Zcr7zRvAwoKVaW3UqHCLj44Gzp5l0S49e/60m3xlpbQjWUqbSlc0q71JezTRb4K+Fn1/6Bv/u9XfuBJ0BRcGXRD2StzktQm6qrqVSokDzCrXV9PHZq/NUFJQgnUNaxz1O4rkzGTce38PH//+KLTK/7L9C8s8lhVojQOstniT3U3QVL8pdFV1QUT4584/WNBuAeLS4sSul+PJQaeqDtqbtEdN9Zo48foERjQegYhvETj15hQCJgeIXC/NtyFJceayool+E4R+DcUcuzlC2f3393Ez9CaC44Nha2gr0kdVYJVPvDJRxBpPzEjEv2/+Fabrx6bGIiMnA7PtZqOpflM01GuIV9Gv0Pd0X0xtOVUYhglLS9a7sqicPs2KaPXuzaz2Nm1YdMvChdL/MsoZ37szBMjS0q7IVFiLHCh8p6CB/w5Ei5otMNtuNtKz01FvSz1cHXIVTQ2aFnsN5Y1X0a9gu9cWNgY28BzrCR6PB5cHLgiKD8KR348AAAb/NxixqbH4lvmtQGtcQH5L+mLARTh7OKNNrTbY+2KvSAglESE+PR7Pxz+HraGtiFU+/fp0MWu8PJKenY7qa6tDUV4RFtUtAAB+MX6oWa0mQhJC4DfRD41qiFrIqx+uhrOHM0KnhQoV+euY17DeZY3h1sOhrKAMAuFiwEXk8HMwveV0LG2/FAPODICNgQ3+aftP8UIo4+MBU1PgwYM86z0mhtUvv3QJaNZM+rHLEYW1tH9Vi/yXqLXyOuY11VhXg1IyU2ij50bqe6pvqc5f2nQ52oXm3Z5HRHlp4oFxeWnd/jH+xHPm0aWASz8d62PiR9J21aaYlBhqsqsJnX93np5+eirWPPpa0DVquL0h5fJzhTKHgw7k4uFC2q7aFJsSK8MnLDnm3p5LSiuUKDkzmU77n6YWe1vQwRcHqcOhDhKvT8tKI4/3HmLynid60tanW4WfD744SPLL5CkmJYZeRb8i/fX6lJqVWvwFHz5MNGCAuHzRIqJ//in++OUEQXr8z+SFva6iggJS9Cusa6UoWOlZwb62Pdw83bDTeyeuDrla1ksqUdZ2WovORztjkf0ibH22Fd1Mu4lUOGyo1xAvJ75EI72f+1+NNIwwuOFg9DrZCwDQx7wPeDwerGtYY/+L/ZjUfBKICM4ezljqsFTEunRu74wOhztgrt1c6KoWHHLqE+mDE69PFHh+SKMhsDG0KcyjFxtnB2dseboFC9wXwD3cHa4dXfH3zb8LLKWroqgC+9riJWOXOixF31N9Ma7ZOCgrKMPzkyf0VPVw//19nHlzBnPs5sgmJJXPZyVev0dentXs5vglqNCulaLgH+uPxrsao7d5b5wfdL5U5y4LBpwZAEtdS+z03onHYx5LLFUbmxqLhx8eSry/jXEb6KvpAwAivkXAdKspTg84jb4WrGXYs8/P0P9Mfyxrvwyuj10R8S2CvRjyeWk2ddmEe+/vwcnGCdWrVi9wrefencMf//4BPvHFzsnz5HHmjzPo16BfUR6/yLyKfoXLQZcBsA3dxxGPYaBmgJa1WiIqJQqeYz2LPGavk73QpV4X9KrfC832NMP2btsx584c5PBzEDotVDaKPDaWdcl5+pQ1XgCYu6VZM+DMGcDamjWnqFaN/VzKtedlRWFdJpXdl17pNjuLipWeFVZ0WCFMjqnsLHFYgia7mmCY9bAC643fC7+HERdGoGd90UST68HXsbPHTmGstpGGEYKmBMFYIy8jt0XNFrCuYY2X0S8R9jUMS+2XCot0xaTGYPB/g2GsYYwF7Rb8dK19LfrCWMMY7xPfi50z1jAWvjxKkrdf3mLt47WY2mIq7Izs4PXZC9oq2jgfcB5und2kGlNglXtHemOCzQQMshqErc+3YqDlQIlK3C/GD9Ep0WJyVUVV2BnZSd7L0NMDNm4E7OxY6zdVVeDEif+1d95hUV1NHP5dujTpiqKgothQAbsi1qgo1lijJsTe62dXwBo0dlGsGFvsDUVjFysqxYIUQVGwUKRKh53vj+uu4C6dZUHO+zz3CffcU+YSnJ2dM2eGP97/+jUf0livHhATwyvzkyd5n/pPys+grItDpbHIKyMbHmzAoEaDUEe7jtgzYUjcp6+fxJ4REQzVDbGg4wLMaDMjz/kff3iMLge6ABzg2tdVdNBo3tV5SM9KxzbbbYWW9dSrU7A/b4+vGV9FbepK6jjQ/4BUI1WEZAmy0NilMXb13YUudbrA77MfWu5uCTUlNcQviAfHcYhPi0dKZorYWFVF1e+RJz9g968dbofdxtuZb6GnqofM7EwoyClIVMrt97VHdEo06mh9//8VkxKD17GvETs/Nv8on7Aw3gJPT+ejVwQCoHdv4No1fhOUiD/y7+oKvHgh2R1TjvnZLe3CIrXsh8WhvChyAQngH+Uv8St97aq1oV2lHJy9lRKXX1/GFI8psG9ujxWeK3D81+NIzkjGOPdxmN9hPnZ778b54ecLzBHz5/k/Yaptin+e/4NXU14hJiUGjVwa4cXkF6ipWRMr76zEqrurxMYJk5xZG1sD4P9f1NtaL5dVXkerDkJmhJRZYqxDzw5hr+9e3P79NgQkQLW/q8GpsxOmtp4KAKi9qTaSMpJQReF7uGtqVipUFVXxYc4HiXMGfwnG88jnotO2+XHq1Smsu78OXuO8RIp+gvsE6KvqY3W31UV7menT+XwtOUMQiYDmzYEdO4COskmaxigZld61Igm/z36w2m2FJvpNcsUHh8WHYXSz0dhuu12q67+IfIF9vpI30Uaaj0Trmq2ltnYv014wUDNAfd360FDWgJufG5Izk6GqqIrq6tVhaWhZqERf+/vvBxHhSugVHHt5DL6fffGb+W+oqcmXletp2hOu3q4ImBoAZXn+JKjfZz8MOD4g1wamHCeH9T3Wi6xydSV1rO+xvkyzG44wH4GVnitxO+w2Pn/9DDM9M0xpNUX03L6FPcITw7G//35R2/gL40V7CZJooNug0KX0BjUaBKc7Trgcchm29W0RFh+G0wGnETwtuOgv8+UL0OqHTKAcBxgZ8c9+JDmZz3WeVx1QRvlGUiiLtK/yUiFIIBBQ271t6diLY6K2pPQkMlhvQC8jX0p9fc8wT1JcoUjr76+nTQ830aaHm2jjg42ktlqNzgeel/r6wpDBLQ+3kIKTAimtVKL199eLStEVhRtvblCdzXVI+y9tikiIyPXM9ogt7Xi8Q3Q/8NhA2vhgo9gc2YJsMtlsQnAE1dlcJ1coY1lx0O8gddzfkRpub0hXQ67mehabEku6zroU8iWEiIjexL4hHWcd+pLypdTWP+l/klrtbkUCgSBXhakis3s3Uc+eucvBffxIpKVFFJUjFPT5c6IuXYhUVIhUVYlGjiSKji7ZSzCkBvIIP6xYjrJSRpifZIXnCmQLsgEAO57sQBeTLmhi0ESsf+TXSDwIfyB2PYp4hCxBVpHXtza2RofaHaCvqo9ZbWdhVttZqKtdF/V168OugV2J368gepn2gpqSGvTV9MFxHIgIKgoqaKTXqMhpd7uYdIGRplEua1yIg40D1t5bi/SsdPh99sPDiIeY2HKi2BxCqxxAmVvjQkaYj0Dk10joVNFB97rdcz3TrqKNqa2mYvVd3s2x5u4aTGk5RezofkkY1GgQUrNSsfPpTpwOOI057eYUb6JRo4D4eL4YhasrvyHaqRMwfz4gzD4aHQ306AEMG8YXdP7wgd887dv35zg9U5mQpN2lfZUXi5wot1VekDU+w2MGaf+lTe32thNdrXa3IjiCvD96F2v9W29vUb0t9SgzO5MEAgG1cG1B5wLOleSVioRHsAcZbTQirb+0SGO1BlX/u3qRrXEh8anxuWqQxqfG05lXZ+jMqzNkucuSJlyYQG32tCH7s/b0Lv6dxDmyBdm032e/TKxxIY8jHtOrqFcSnwmt8uuh10vdGhdy0v8kwRHFt8aFHD3KF5JUUSFSVCSytiaKi/v+fN06Inv73GMEAqImTYjuiB9yYsgeVOYDQfkhtMrnXJ2DN3Fv8rTGAWBq66k4+vIoLv92GVVVqgIADj8/jN3eu2FRvXjH/TubdEatqrVw5PkRUeRDP7N+xXuZYtDLtBdqV62NoY2HIjE9EV4fvIpdBEP4OxHy9ONTDD4xGHZmdtBQ0sCBZwfAgUNAdAAaGzTGvPbzxOaQ4+Rgb2FfrPVLAhGfLTI5M1nU5vvZFwBgpGkkOvQjtMr7/tsX89rNK1VrXMigRoMwu+3s4lvjAB87Pns2f0y/Y0fg61e+lNyoUcDFi3yf0FCg5Q/7ZhzHH+9/84a34AG+1FxqKqChIdM49IoUuVLWslbqqBUhRIT2+9vD55MPfCb45KnIAWDM2TFooNsASzstRZYgC012NMHOPjvRtU7XIq0ZnRwNq91WyMjOQEZ2BhLTE8FxHNSV1DGg4QC49Xcr6WsVmozsDCjK8aFtWYKsUkvtS0Sw2m2F5TbLMaDhAPx64leYG5hj2+NtCJkRkmfInizIzM6Ewd8GaFatGWpqfHcNPY98DgM1A9z8/aaoLS41DoNPDMapoaekoshLhT//BJo0AebO/d6WkQHUrg3cv8/Hlu/cyYcnnjnzvU9mJh9nfvYsn8Rr4ULAzQ3IyuIzKq5fz7tjZEBFyqMiLVlZ1Eo+cByH9T3W4/Lry/kqcYAvU9ZhfwdMbz0d7sHuqKZWDV1MuhR5TT1VPRioGWCsxVgMbDQQg44PQmJ6IvRU9dCqRtnWHc2ZErY087NzHAfHzo5wuO2A/mb9cXLISdift8f01tPLlRIH+Pee03YOXse+FiUXyxZko5lrMyzosCBXX+0q2rkUe0F8SPyAxTcXi/ZhctKzXk/plN778AEYMiR3m5ISr8A/fOD/O2oUsGEDb6lPmQIkJQEODkCLFvzJ0N9/5y35gAA+lNHDA/jtN+DqVb4Po/wgyd8i7as8+ciLw+gzo8nhlgM12NaAbry5Uex53IPcyXyHOWULsulN7Bs66X9SLBlVRUcgEJCFqwWdDThLr7+8Jl1nXYpLjSt4oAz4McHYsRfHqO3etiTIGflRDKKTo0lttRqt9lxNh54dEl0NtjWgDQ82lIbo4ixdSjR5cu42YdRKbOz3tg8fiMaPJzI0JKpbl2j5cqLUVL6vtjZRUlLuOST51csIWSXE0tbm1/jx0tbOe4y0ZEUePnKmyItBUEwQKa5QJOv91iX6Ry4QCMhqlxWd8j9FRHzGPJfHLqUlZrnhfOB5auHagn4/+zs53nKUtTj5suL2Chp9ZjRlZWdRY5fGdOX1lVKZd8G1BTTJfZLovlQzIEri82ei2rWJ5s0j8vEhOneOyNycyLGQv/+HD4latRJvv3mTyMamVEUtLLJS5MVZt6wVOfORF5PVnqvRvW53tDFqU6J5LgZfxOIbi7G3314MPjEYIdND8iyhVl4JiA5AVHKUWLuGsgYsDS1FvvK38W/xdubbcudWyUlCWgJMt5liRusZ8AjxwIM/H4gdp/+U9Ak7n+6EpH873ep2Q2eTzmLt0cnRMNtuBr9JfqihUQO9j/RGi2otMKb5mFz96mrXFRVAKTEREYCzM3DrFqCnx5ePGzGicBuWsbF88efgYD4kUcjixby7ZevW0pGxCOT0L2tq8p6gvNDQABITS3/dwrQXd0zhZGFH9MslRIRWe1ohMjkSizouynWSsKJgucsSCekJucqcfUn5gvDEcMQtiIMcJ4eH4Q8RFh+GEeYjCpwvNTMV2STuT1aWV5ZqjVX/KH/0PNwTiemJSMpIgk4VHdFp1LEWY7Gy60oA/LH7htsbYl77edBQ0hCN3+W9C7Pbzsbc9nMlzr/w+kIkpCWgkX4jzLwyE431G+eKlQ+NDcWyTsuwyHqR1N6xSCxcyH8I/P03UKcOn8vF2Rl4+JBX8mVMXpEgeVFaqq04SllaUSuVurBEeccj2IPqbqlbYX3jB/0OUie3TrncTH+e+5OW3VxW5LmSM5JJaaUSqaxSIbXVaqJLcYUidXLrVJpii5GWmUY1N9SkI8+P0MJrCykiIYIiEiKo/tb6Yidth58aTmvvrhXd5yxekhdRX6NI+y9tst5vTdp/adO9d/dEzz4kfiDtv7TpU9Kn0n+x4pKdTbR9O++SMTAgGjKEyN9f6ssWxict6fmPV2lRnopVgPnIyzeZ2ZmyFqHYZGZnUv2t9enmm5tERBQaG1qiwzJDTgyh9ffX52rrfbh3rmP+0sLlsQv1OdJHdH824CxZuFqI7YX4R/mT/jp9SkxLJCKioSeH0rp76wqcf8G1BWSw3oBcvFyox8EeovYZHjNo9pXZpfQWFZvCKE6myJkiZ0iBnFb52PNji2WNC/nRun0U/qjMonnSMtPIaKMRPY54LDppm1feG6FVXhhrXEhyRjL5R/lTRlYGmWw2oXvv7pVPa1zK5Gd1lzdFXpyoFWmRlyJnPnJGqSDM572gwwIsuL4AwdODS3RYJmfBbNsjtrBrYIfJrSaXosR5s+PJDni89sA4y3FYcWcFvCd4S8wf/ir6FTof6IzWNVvDxtgG/+vwvyKts89nH477H0cjvUaQl5PHxp7FK2BREcnP7wwU7JMuzH5taaq28nKqlPnIGVLnoN9B4hy5ElnjQoRW7s03N8s8tl5olRttNCowC+XwU8NJb51eoazxHxFa5ZprNWVvjb9/T/THH0TVqvHx5A4ORGnS+53nZ3WXN4u8IHnLErBcK4zCkJqZivi0eLF2eTl5GKgZSBjxnRHmI/Aw4iFmt51dYjmEBbP7H+sP5+7OZRqSqaygjGWdlmGf774Cs1Bu+GUDQmNDixUyqCiviI2/bMSbuDf55jSXOh8/8ic1dXSAdu0AW1vA3Z0/+XnypOzkYhQa5lopAy6/voyE9ASxdgM1gyLnaJE2v5/7HSf9T+ZKgCUgAaKSoxA0LajQRRJKA/8of0y4OAE3x9yUSWx9ZnamVMMdywwiwNeXLyjRujVQNUdys9RUoGFDIDsb2LIFiIzk86lMnszf//cf8P49sGsXn/bWxoZPxmWQ/4d6QeTnWtHWLlqYoSRKM44cKD95XliuFRky4eIE1NSoCRMtE1Fb0JcgEBH8JvnJTjAJ2Lewx4PwBwiYGgAFOf7P4+iLo3B54oL6OvXLVJYmBk1w/8/7ZbpmTkpLib+Meoktj7ZIfDbSfCS61Cl6rp5C8+4dMHgwn5vcyAh49gxwcgJmfKvF+s8/vBJ3dOT7AYCdHV/ns2tXYN064MEDYPlywNgYOH4caNsW8PL6nte8lPnR51zaSrSw/u4f+wn98uUx2yJT5GXA/Pbzcf3tdRz79RgAfl9CmHhL2hARbry9geSMZLFnhhqGYuXkOpt0Rk2Nmjj64ijGNB+DbEE2VtxZgW29t0mu4i4Duh/sLtH9U1+3Pv4d/K/EMUQk8fQpAOhU0ZGq5Z2ZnQk3Pzds6rkJKgoqvDwgzL82H71Me+U57r+Q/+D3WfyDXlFeEROtJhbsziHiE2cNGcIXlOA4vkhz585A06a8or5xA2jfnk97O24cP65WLb5M3IMHvMXu6/v9AJCNDX9CdPt2/gOhmGhrS96w1C6DMrlxcflvtErqV9SN1rKGKfIyYLzVePx1/y/4fPKBpaElrr25hri0OAxtMlTqa2dTNn498SvM9Mxy+WGDv/BRJZIsXsfOjhjvPh4jzUfihP8J6KrqilXLkRUCEiAgJgAqCiqoXbW2qD0kNgSZ2ZkA+BOSGx5uQE634fuE9/AI8UBV5aq53DRxqXFYbrMcSzstlZrMFoYW6NOgDwD+bwHgUzPUrlobAxsNzHPchaALuBl2E/0afM9P/zn5M074n8DvzX8vWJG/fMm7Q/73v+/ax8QEWLAA2LePV+S6uvzx/T17+NzkY8bwPglvb769Vi2gRg3eapf/Vtf211+Bv/4q9u8DKH8WbUH8+MGT0zovF0jaAZX2VRmjVrY+2kr9/u1HAoGA2u1tR0efHy2ztR1vOdIf5/4Q3QszEp55dSbPMTZuNrTfZz+ZbTMTq10pSwQCATXa3ojUVqvRsRfH6PSr03TA7wAprlAku6N2RMQnNZN3kifne8604/EO2vF4B219tJXknORo6Y2lorm+pHwhxRWKVGVVlVynSNVWq1G19dVKNVLG+6M31dhQg1IzU8WSpeVFWFwY6TrrUkxyjKitSAeHbt8mattWvP3cOaJevfifvbyIatQgOnuWqHNnImVlIiUlPkvigQN8ZSFFRSINDaKpU4m+fiVycSEaMaKwr15iSjtipLDzFXXdsog3hzQOBAEYAsAfgABAy8KOq4yKPDUzlWpsqEFr766lhtsbUlZ2VpmtHZcaR7rOuvT6y2si4rMRNt/ZPN9yarfe3qIqq6pQ+33tS5zGtbS5GHSR1NeoizJFzr86n1RWqVBAdICoz2+nf6M1nmtE955hnqTrrEu9D/cWtS27uYysdlnR4OODKSk9SXStvbuW+v/bv9Tl7vdvP9r6aGuu9MUFMeHCBFpyYwkRFeMY/9evRDo6RIGB39sEAqLBg4n+/vt72969fL/27fnQQ3NzouvXifT1+Z9nziR6+5ZX3l27EhkZlWkpuPKiyAtS1GURopiXIi9R1ArHcY2+KfFdAOYRUaFCUSpb1IqQbV7bMOPKDBwddLRQyaNKE6fbTghLCMP+fvthtdsKyzoty/drPQCMOjMKE6wmiMqcCQmJDYHLYxeJYwY2GijWv6ikZqai15FeSMlMEXtmZWiFnX12osmOJohKjsLLKS9Rd0td9KjXA+eHnxf1C4wJRNu9bTGo0SAoySvhYvBF1NWuC59PPuhZryeWWC9Bj8M9cPP3m+hxsAc87T3RUK8hUjNTYbrNFBdHXISFYfHK9+WFzycf2P1rh2pq1bDEegkGNx5c4Jh38e9gtdsKQdOCsOLOiqIfHNq7l9/InDuXd5McPcr7ye/c4UM7hHz9Cjx5wke0WFjw7hhFRX7cH3/wm5sGBkBgILB6NZ9Qq4wo7cM4hd08zeu+sO0FrVccpBK1QkQB3yYvyTSVhvFW4xGbGlsmvvEfmdl2Jky3mmLTo00QkAD9G/YvcMzhQYcltn/N+Iqtj7diZZeVqKJQRdS++u5qWBhaFFuRJ6UnYZXnKqRnpSMoJgjGVY1RV5vfZGuk3wheH7ygqawpqug0/PRwdD7QGQSCc3fnXHM11GuIRnqNcNL/JCa0nIC0rDQMazIMulV0cSbwDAw1DDHAbACaV2uOWW1nYZXnKhwedBh7fPagVY1Wpa7EAcDS0BIta7TE27i3BX6ICjHWMsbgRoMx/9p8nA08i1dTXxVt0XHj+JJte/cCt28DXboABw8C6uq5+6mr88+EvH7NK3A9Pb7GZ3g4H774v/8BzZsXTYYSUtr+9MJutErqJwyPLG+wzc4yREVBBQ6dHWSytpaKFqa3no65V+fizNAzudKnSuJrxldcDb0q2jBMykhCSGwIAD5nduuarRGeEI7+Dfujdc3WeB75HFoqWhhpPrLYMnIch72+ezG8yXD0a9AP7sHuGNpkKI68OAJlBWU8DH8oqmVqW98WtTRrITAmEHZmdmio11Bsvt12u9FiVwtcC70G5+7OGGs5FjEpMbj65ioOPT8E34l8ceVprafBdKsp/D77wfm+My6OuFjsdyiIXX13ISk9qcDff04WWy+G6TZTTG89vXgHh9q356+i0KwZcPMmMPDbB06tWrwG8/Hha4FWYAr7wVDYMMjyQIGKnOO46wAk/fUsIaLzEtrzmmcCgAkAULt27QJ6M6TBzLYzkZGdUShrPCgmCINPDIZdAzsoyiviXfw7+H72hTwnj1pVa6GaWjW4+bnBzc8Nu+12w83PDcs6LRPFnhcHdSV1zG03FwExATg44CCe7XuGqiqM4C/LAAAgAElEQVRVERYfhmbVmmGc5TjR6VKhVW73r52YNS7EvJo5WtVohWeRzzCm+Rgkpidi+5PtcLRxRExKjMja11TWxKy2s9DzcE+0M2onFWtcSHX16kVWxsZaxjjx64kSu6yKxOTJfBRLrVp8JMunT3wI48CBfAFnRrmiVE52chx3G8xHXiHxj/JHn6N9ICCB2DN5Th7LbZbD3sIeaVlpqLOlDpIzkhE8PRjV1avD5oANnn1+hhNDTmDKpSkInBZYIkUOAInpiTDdaoq79nfxJu4Nxpwdg96mvXHx9UUETgvMlSaAiBAQE4DG+o3znO9j4ke02tsKxwYfg+c7TwR+CcShgYckrmuxywKnhpySqiIv16SlAVlZ390uQUF8MearV3lrfOxYXpkrVM4v8gX5wMsisRY72cmQSD2desjIzoCLrQusalgB4BVk271t0bh6Y8y7Ng9RyVGQl5OHqoIqsgRZIotSaASsuLOixNa4EKF1vOruKvzd42/EpcXB66NXLmtcCMdx+SpxAKihWQMrOq/AohuLEPwlGHft74qefUr6hAfhD0T3zt2d8SbuDd7EvUEn407QV5POycVywevX/IEfQ0P+FOesWbwvnAho04Yv5WZuDhw7JmtJyw0F+dZlGRtfon95HMcNBLANgD6ASxzH+RFRz1KRjFEmqCioYFHHRXDzcxNtwF0IuoDEjESkZKZATVENt8JuwUTLBO8S3gEAnn7kv029iXsD69rWCIgJwG/NfiuxLHGpcZh7dS6SM5NxPvA87oTdQXX16ngT9wZ6qnrFnndM8zFYdXcVepr2hJmemaj9SsgVTPWYit71e+fqfzH4Ig4PPIwhTYYUe81yi0AATJ/OJ8Pq0YNX6M+fA6NH8+4TFRXAzQ345RfgxQt+s5MBoHwfYmJJsxhIy0pDva31cGH4BVgaWsJqtxV6mfaCx2sPbOq5CePcx6FnvZ64EHQB3ep2Q2wq/xfdq14vDGg4ADEpMWhevfCRDNM8puHfl+JH6eU5eWQLsjHBagJCYkNwLugc1ndfD7dnbrA1tcXa7muL/Y4vo16iunr1XB8IaVlpMN1qinPDz6FlDf7b6u2w2xh3YVypuInKJf/8A7i48EfzNTT4Dc3Ro3m/98OH3/v98Qe/4TlnjsxEZYiTl2ul8FvnjJ8WFQUVLOywEE53nOAe7A4CYVWXVZDj5BCfFg/jqsbY77sfygrKcLF1ge8nX/h+8sVYy7GoqVmzSEocADrU6gDjqsYImhaE4GnBCJ4WjO29t0NPVQ8LOi5AaFwo/hn4D66NvoaBjQYiPCE8z4LGhaWpQVMxq174bcTpzvecIU53nLC009KfU4kDwOHDwKJF32PI37zhre+wMP5nIVZWue8Z5RqmyBkA+Bh370/emH55OhxsHCAnJwfHzo5wuuOEDb9sgLGWMZw6O0FdSR0uti7YbrtdlACqqAxtMhSpWanw++wHXVVd6FTRwZq7a6ClooXHHx7DPdgdg44PgutTV3Q72A29THuVyLWSH2Mtx8L3ky+efnyK22G3EZ4QjlHNRkllrXJBSgqgqfn9vkUL/nCQqir/TMi1a/wzRoXgJzU7GEVFRUEFS6yXYL/vfvQ348MT7RrYwfG2I9z8+Njt4U2HA0ChwhfzQ15OHss7LYfjbUd0q9MNV0OvIjkzGYExgdjTbw9UFFQQEhuC3qa9cdz/ONZ1X1eyl8uHnFb514yvWNppKaKSo3JtgubExtimYm+C9unD5xbv2pXfuWvZEqhWjfeTp6cDISHAjh18xMqIsj19zCg+zEfOyEVGdgaU5JVE9xeCLqD/sf44NPBQqVqq2YJsNN3ZFFt7bcXy28sxs81MHHlxBD3r9YR9C3vU21oP+mr6iE+Lx/tZ76V6eljoK1dRUEHgtEAcfHYQ0y9PR2/T3JugF4Iu4N/B/xbqaH255etXoFs3PsRw0CBecR86BPTqBTx6xIcg2tnxx/qrVZO1tIwfYOGHjHwJiw9DfFo8Xka9xMaH33N5KMgpoL5Ofezy3gU5Tq5EJzdzIrTKfz/3O7RUtDCk8RCY6phiwLEBGGc5DnPazcHC6wtxasgpqaeAUFFQgWtfV6goqEBBTgEjzUdi2a1lWNRxkSgk83bYbTyPfF7ibyMyR10d8PQETpwA7t3jww+fPuXT2zIqLEyRMwAA3Q52Q0Z2BjSVNBEQEwDjqsZIzUpFZnYmTg09hSEnh5S6n3pok6Fwvu+MpZ2WQl5OHi1rtISFoQX2+uxFdfXqaF69eaFzkpSUvg36in7Oufl7YcQFAIDjbcdSi5UvLZLSk7D98XZkCbLEnlnVsIJtfVvJA5WV+UiV0aOlLCGjrCg/f5UMmTK11VQ8CH+AU0NPYcqlKdBU1sTHpI9ooNsAkcmRaKDbAD3q9ijVNeXl5OE9wRvycvKiNgcbBww4NkC0qSqrhGzCYiDeH72RlJGEj0kfyzxjZUGkZaVhhecKjDIflevY/6mAU/iS+iVvRc746WA+cgYAICUzBfW21sN/o/6Dtoo2zHeaQ0FOAcHTgtHRrSM299qMX+r9Uiay2P1rh/i0eHj+4SnTzJrbvLbh2ptrSExPxFiLsRjdXDoWbFRyFN4nvBdrl+fk0bx683wTbM35bw4EJMDmXptFczXc3hAvJr9ATc2aUpGXITvy8pEzRc4QsfHhRpFVbrbdDNXUqmFKqynY6rUV9/+8X6BSvf/+PpIyksTaDdQMYGloWWg5opOjkZGdIXNFJDwopaaohldTX0nNrTLuwjicCTgjSuIFAJmCTDyPfI5XU16hkX6jPMd+/voZjV0aw3+KPww1DPG/q/9DWlYattluk4qsDNnCFDmjQIRW+bbe2zDx4kQISAA9VT242LoUaI0TEXTX6cJYyxjV1L5HO4TGhiIqJQrtjNqJjeletzvmtZ9X6u9RmrgHuUNNSQ1d63SV2hq+n3zR52gfhM4IRRVFPr/7Pp99OOZ/DNdGXytwvNAqX2y9mFnjPzksaoVRIKqKqvhf+/9h+KnhcOzsiI9JH+H32a9QvnGO4zC33dxc2QWJCB33d0R0SjQ6m3RGi+rfD5gsublE4iZdecPOzE7qa1gYWqCNURvs8t6FWW1nITM7E6vurpKYpVES8zvMR2OXxviS+gW/mf/GlHhlRFL9N2lflbFmZ0UhOSOZhp0cRvGp8ZSWmUZfUr4UemxCWgLprdOjwGi+RuT10OvUYFsD2vhgIw04NkDUzz/KnwzWG1BSelKpy19R8fnoQ4Z/G1JKRgrt9d5L3Q92L9L42Vdmk9JKJYpIiJCShIzyAKRRs7O4MNfKz8tqz9UI/BKIgwMOotOBTphkNQmDGg1Cva31cGnkJVgYWmDE6RFoUa0FFnRcUKw1vCK8EJEYIdauqqiKnqY9i1R9pzwx8PhAtDdqjx1Pd+DQwEPoWLtjocfGpsbiYfhD9GnQR4oSMmQN85Ezis0+n33wfO8p1q7AKcC5h3Ou+PLE9ETU21oPTp2dsMVrC15NeQV5OXlsebQFt9/dxuquq9Hlny4InREKdSV1sTkLQ7eD3fAh8QOaGHwvORb5NRLPI58j+n/RUFZQLta8xeGA3wH4fvIVa1dWUIaDjQPUlNQKPZfvJ1+03tsanU06F8o3zqh8sOyHjGLzPuE9/D77oatJV9FVS7MWzgaezXWcH/hWGKLNLEz1mIrlnZaLYsQnWE2AV4QX7M/bY07bOcVS4iGxIdjnsw/NDJohMT0Rver1gq2pLWxNbWFc1Rgz2swoUyUOAI8/PMaDiAeoq11XdGUKMuHm51bk0EkLQwvMazcPf3X7S0rSMn5aJPlbpH0xH3nFIjYllnSddSk0NlTUNurMKFp5Z6XE/glpCTT7ymzKys7K1b754WbSddYttm9819NdpLlWk+zP2ZP+On3qfKAz/XHuD5J3kieNNRoUkxxTrHlLwrv4d6TjrEPRydGitqEnh5LzPecyl6VAsrKILlwgmjePaP16oo8fZS0Ro4iA+cgZJcHhlgMiEiOwr/8+BMUEoaNbR4RMD0FVlaqFniNbkI0PSR9Qu+r34r0bHmzAp6+fxPrqqephYceFudqEcd3uI9wRnRyNOVfnYEWXFZjoPhETrSZidbfVxX/BEjD54mRoV9HGmm5r8DLqJbod7FYi15FUSE/nk2HFxgKDB/O5xs+e5SsFdekia+kYhYT5yBklIi41DvW31cfj8Y/hcNsBZrpmWNppaYnntXazhoaSRq447Xvv7yEiMQJPJ4j/jWzz2obrb6/j3LBzaLevHd4nvEdSRhLCZoZBV1W3xPIUh/cJ72GxywJB04Iw1WMqrAytML/DfJnIkidbtwIeHsClS4D8t5QI//0HTJ7Ml3uTl89/PKNckJciZ64VRqFZfnM5dT/YnfTW6VF8anypzHk15CqZbTMTuWEEAgG1cG1B5wPPS+yfmplKNTbUIJ+PPrTs5jKCI2jx9cWlIktJmOQ+iQYdH1R+wyq7diVyd8/VpK1NFIgG1By+xFdd5i9tbRnJyCgQ5OFaYZudjEIzq+0sPP7wGDPbzCySSyU/utftDl1VXRz3Pw4AOB90Hhw42DWQfBBHmJnQ4bYDLgRdwIimI0pcBq40WGS9CO5B7pjbbm75cqkIUVTk3Ss5iIsjmJlkwO+lYg41DsTFyUhGRrFhrhVGkXj2+RnM9MyKVObtVfQrpGamirVXU68GI00jXAu9humXp+PllJdotacVnDo7oZ9ZvzznS8tKQ90tdVFdvTq8J3jLNLFWTu6E3UHrmq1Fx+zLFQcOAK6ufLFlVVUAwBjuIA6a/w08e8ZXC/oGx/EKnVH+YD5yhkxIzkiGtrM26mjXyWWpfkr6hPq69XHnjzv8UX63jqhdtTaCYoIKpZz/C/kPOlV00KpmK2m/ws+BQACMGwdcuwa3qD6omfEGjfEKtvDACzQDAGhr83uhTJGXX1iuFYZMUFNSw1iLsdBS0cLa7msB8Psybfa2wfTW0wHweVocbRzxy+FfcH74+UJZ2D1Ne0pV7vJAeEI4vqR+EWtXV1KHqY6pWPvHpI8S0+EqyCnA0tAScvv3A8+ewbvFXdif6AaVoXZIo+/frMrJFxtGMWAWOUPq5Izq0FPVg8drDyy4vgDPJj0THacnIlx6fQl96vcpN64SWWO+0xyxqbHQV/1e7DkxPRHRKdFIXJgIjuPwJeULQmJDAABOd5zwIPwBjDSNAABqimrIEGTA77MfQqaHoJ5OPQDfLe4fLe+82hnlB2aRM2RG7aq1MbTxUGx4sAFruq2B421HONg45MqJwnFcrnJrJSUsPgxfM76KtetU0UENjRq52pbdXIbolGixvjU0amC5zXKx9kkXJ+Hw88Ni7QpyCvCZ6JMrr7gkzHeaS7ScTbRM8GzSM9H9tFbTcDbwLK6MuiJqE1ZvEn7YrX+wHjuf7kRDvYZIzkhGSmYKlBWU4fPJB/fs78Hvsx+uhF4RKfGcaGuLW+Ecx7czKhZMkTPKhEXWi2CxywKN9BshNSsVgxoNktpaRISmO5pCV1UXGkoaovYvqV+gr6qP55Of5+p//e111NSoie51u4varoRcQfCXYImKvGudrvD64JWrgtHl15exwnMFTLRMCpSvQ60O6GrSFSu6rBC1Lbm5BD9+O7a3sMeae2vwMPwh2tVqh/CEcBz3P47AqYGiPpNaTsIenz3wGOkBXVVd2P1rh+pqfNk3S0NLDDs1DOeGn5MoR2xs7ntmiVdgJMUkSvticeSVk0nuk0jeSZ5O+p+U+lrz/ptHUy9NzdXW+3BvcnnsQlnZWbmui0EXqbFLY1Ese2Z2JtXbUo9uv70tce5sQTY1dmlMHsEeRMTHvrfe07rQ7xUWF5brWH/U1yjScdah9/Hvxfq6PnGlnod6EhHR5IuTacG1BWJ9xl8YT0tuLCEiIq8IL1JYoUCn/E/Rdq/t1PdoX7H+gLhM2tqUK5acxZSXT5BHHDmzyBllxmLrxcjIzpCqNQ4Amx9tRnhiOM4GnEVkciTUFNUQnRINz3eeuPHmBqZ5TMvlhxeQAJrKmjj16hSGNR2GI8+PoHbV2rAxsZE4vxwnBwcbBzjecUQv0164EnIFKZkphX4vYy1jDGk8BBsfbsSabmvw94O/MbzJcNSqWkusr9AqP+F/QswaF7LYejFa7m6JOe3mICIxAmqKangb9xabvTZLtMYluVSE7ZKsdEYFQJJ2l/bFLHKGNJnoPpE67u9IvQ71oq7/dCU3Xzcy3mRMOs46ZHfUjrY82pKrf58jfWjKxSnU2KUxpWel52uNCxFa5ZeCLxXJGhcitMoDogPytMaFuD5xJXkneYnWuJDxF8bT4uuLqdnOZrThwQaSd5IXs8bzs7olWelEebczZAOYRc6oLCzquAiWuy1xz/4eOuzvgKmtpiLyayQ29NyAdkbt0PffvhhvOR5VFKvgyYcn8Pvsh5NDTqLLP10w5OSQfK1xIUKr3P68PQzUDAq0xjOyM3LdG2oYYlDDQbBxs8nTGhdib2GPO+/uYFCjQZh8cTII4o7sDrU6YNKlSWis3xiz285GdHI0RpqPzNUnLk6yD5xZ3RWfEoUfchy3HoAdgAwAoQDsiSi+oHEs/JAhbSZdnASdKjrIzM7EpkebUFWlKj7N/QQleSUMODYAXet0xYw2M9D3aF/0Nu2Nqa2n4krIFfQ+0hu3f79doCIHeJdM271tsdh6MQY0HJBnP893nrA5YANFOcVc7ZmCTKgrqePVlFf5KnIhwV+C0dilMdZ0WwNNZU1Ru9MdJ6zqsgoxKTFoV6sdOhl3kjg+r81MoSLP6xnbAC0/SCVpFoBfACh8+9kZgHNhxjHXSsXA6bYTaa7VFLuqrq1Kj8IfyVq8fBG6Ll5FvaJq66uRy2MX0TOfjz5UY0MN8gzzpJobalJqZioR8ZuWt97eKtI6AoGgwD5pmWlktNGIvCK8RG0pGSlk+LchPf3wtEjrjTozilbdWSW6v/vuLplsNqH0rPQCx+bnPmGulYoBpOFaIaKrOW4fAfi1JPMxyhc2xjbY67MXPhN9RNak72dfjDg9As2qNZOxdPkj3FCcc3UOVBRUMM5ynOiZhaEFWtVohX7H+mFVl1WivDEcx6GzSecirVOYw0vKCspY1HERnO444dLISwCA3d670caoDaxqWIn1D08Ix7GXxwDwVr8AAtGzAWYDMOnSJExuNRk6VXTgdMcJS6yXiFVqKir5bYAyyj+l6SP/E8DxUpyPUcqcfnUazyKfibUrySthTrs5UFVUzdVuY2IDUx1TXAy+iD9a/AEA2OK1BQs6LCifiaF+YFHHRai/rT5cbF3EFJ1jZ0eMvTAWYy3HShxLRGi5pyUS0hLEnjXSbwT3Ee5FkmWsxVisvbcWjz88hrmBOZzvO4uU+o+8jX+LhTcWYkbrGTgdcBrhieGQgxwEEECek4eABDBYbwCP3zwQEhuCMc3HFEkWANDRyZ3lUPizpMgVRvmnwDS2HMdd5zjupYSrf44+SwBkATiSzzwTOI57ynHc0+ho8VN0DOlzNfQqzgedh4KcguiKSIzA3w/+RrYgW+IYBxsHrPJchSxBFnw/+cIrwgsTrSaWseTFw1jLGA/GPoC9hb3YsxbVW8B7gneeWRw5joORphEGNRqEK6OuiK7WNVujrlb+JzclkdMqF1rjFoYWEvta17ZGh1odYFXDCgs7LoRtfVvcH3sftavWRsqSFCzsuBDycvJY6bmySNa40OrmuNxKXFubpbCt8EjytxTlAvA7gIcAVAs7hvnIZUNobCjpOuvSl5QvorY/zv1Bjrcc8x3X5UAXcvN1owHHBtCmh5ukLWa5wfujN9XYUEPkQ/+U9Im0/9KmD4kfijWf0Feu9ZcW+Xz0ybfvjTc3qMG2BvQ1/SsZbTSidnvbkesTV5Fv3fawbaF945JgPvGKCaRRWILjuF4AFgDoR0QpJf5UYUiVutp1MaDhAGx+tBkAX5XePcgdM9vOzHecg40DFlxfUKGs8dLA0tASLWu0xB7vPQCAdffXYXSz0WK5WvLjUvAlvqao+0TMuDwD9bTrQV9VH7u8d+Ft3Ns8xynLK4OIMPPKTDTRa4InH58AAMZdGIeWNVriwIADcB/hXmhrXEfnuzUu9IVzHN/OqPiU1Ee+HYAygGvfNn0eEdGkEkvFkBqLrRej9Z7WmNV2FlbfXY3pradDS0Ur3zE2JjawNLSEXQO7CuEbL00cbBxg968d7MzscMDvAF5OeVmk8RGJEbj0+hKWdVoGgP9wiEuLw7Jby/Kt67nXdy9SMlNw0v8k1JTUIMfJ4dDzQ7gffh83Rt+Avpo+9NX08xz/Iz/GkOfMdMio+LA0tpWQcRfGIS0rDVdCriBkRkiBihzgoydyZiusTPQ/1h8vIl/AroEdtvTeUqSx6VnpqL+tPk4OOYk2Rm0AAA63HBCeGI79/ffnOe5V9Ct0PtAZpjqmiEiMwLz28/C/a/9DTY2aeDPzTZHfobApa1ncePkmrzjyyvkvs5Kz2HoxjvsfL5Q1LqSyKnGAt8pjUmKwoOOCIo9VVlDGYuvFcLrjBACIS42DyxMXLLFeku+4xvqN0a1uN7QxaoMjg45gUMNByBZkY2efncV6hx/JGW6Y0+XCwg0rJswir6RcCr6ETsadoKGsUXBnBlIzU4vtVspplXu89ijQGhcitMpDZ4RilecqfM34Cpc+LsWSIb9TncwCrziwwhKVkCPPjyDoS5BYexWFKpjXfh4U5RUljGJIoiR7A0KrfP71+fCP8ofXOK9CjRNa5Y63HXHg2QH4TfQrtgyMnxumyH9iLgRfQFh8GPrU7yNqC/oShJtvb2Ju+7kylKzyYd/CHmvurkE/s34Sq/XkxbJOy9B0R1NMbjlZlI/lTMAZ7PbeLbH/yi4rJRakZic3f26YIv+JWWK9BL8c+gVz282FmpIaAGDwicFY0GFBiY90M4qGsoIyLo28VKTQRYC3ynf13QU7Mzt8SfmCRTcWISw+DJ7vPGFtbA0OvHauq10Xbn5u0KkiOZ5QeFpT0olOoW+cneisuFTeHaxKQLNqzdCxdke4PnUFADz7/AwPwx/+NLHgkg5GCK/yiHk1c+iq6hZ53Hir8aiuXh0Kcgo4+eokrAytUFOzJky1TTG86XBEJkfiVfQr/Gb+W4HWvjAM8ceLneis2LDNzp+c55HP8cuhXxA6IxRjzo2BdW1rzGo7S9ZilZjjL49j+OnhEp+59nHFxJay+bCKSIzAmzjx8EB5Th5tjNpAQa5kX4JX3FmB0LhQjGg6AnOvzsWF4RfQck9LZAuyMc5yHHSr5P6gkOPkMN5qPPRU9QCwTc+KTl6bnUyRVwJ+PfEr1JXUcTX0KkJnhJb4UE/k10ikZqWKtVdVrgrtKmXjdI1JiYHZdjP4TvRF7aq1AQDRydFo6NIQfhP9CpXfWxpMcJ+Ac4Hn0FCvoagtIzsDXh+8EDg1EGZ6ZgXOMeDYAMSkxIi1G2sZw8XWBaZbTfHgzwcYc24M1BTVkCnIRHJGMqJTojG62WhR/8T0ROx4ugPB04JFljpT5BUbFrVSiVlusxzNXZtjU89NJVbiWYIsmGwxgaayJqoofJ8rMT0RdbTrwHuCd0nFLRR6qnqYYDkBa++uxc6+fGz1hocbMKzJMKkp8Z1PduJe+D2xdkU5RWz4ZQN0VXUxo80MXAi6gMu/XRbtS7g+dYVOFZ1CKXGA/x030W+C0c2/K2XXp67IpmxoqWhhRpsZWH1vNSZZTcJY97HQUtHC9dHX0eNQD/xp8adIaa/2XI0RTUcUaXP1R370qeeE+dXLD8xHXgloVq0Zzg07h0ktS549QUFOAfYt7PFH8z8QNitMdLU1aovxluNLQdrCM7f9XJx4dQLvE94jOjkae3z2YFHHRVJb72PSRwREB8DW1FZ01dGqg0uvL4myKDY1aIpOxp2w8yn/4ZKelY41d9fAwcah0Os42DjAI8QDrWq0gu8nX5wLOIezgWehoaSBJTeWICEtAadfncbRl0dhqG6I/mb9YWFogWmtp2H13dUA+A/WzV6bsbTT0hK9s1CJ/+hTz/mMIXuYa4VRZMITwtHctTmCpgVBX00fXhFeGHJyCF5Pfw1lBeUylWXR9UWIT4tHVZWqvCuhzw6prRWbGosG2xrg6YSnMNEyAQAMOzUMVoZWufKmvIx6ie4HuyN0RigOPT+EC0EX4PGbR5HW6nu0L2zr2+Lw88OISYmBioIKhjUZBgB4GPEQ3p+8kZyRjCfjn6CmZk2oK6kjPi0epltN4TXOC8deHkNATAAODzqca968LOy8rOu8ysDlVx6OIT2kUuqtuBdLY1vxmXxxMs2/Op+IiHof7k07n+yUiRzRydGk46xD2n9p51uJvrRYemMpjb8wnoiIXkS+IIP1BpSUniTWb8iJIbTqziqqtbFWscriPY54TEYbjejYi2Mk7yRPLyJfEBFfWs7C1YL+ff4veX/0FhvncMuBfj3xK+mt06OA6IAir/sjeZWBy688HEN6QBql3hiVl0UdF6G5a3NYG1vjZdRLnB12ViZy6KnqYXbb2UhISyiTDc7Z7WajwbYGWGy9GCs9V2Juu7lQV1IX67fcZjlauLbAL/V+ESXLKgqtarZC82rNsfbeWmipaCEgOgBNDZrCPdgdAhJgaNOhEvPfzGo7CyabTdC3Qd9cG66MnxxJ2l3aF7PIfw4mX5xMyiuVZWaNy4qlN5ZS13+65mmNC3G67UTPPj8r9jqPIx6TnJMcuT51pSYuTSgrO4ssXC3ozKsz+Y67GnKVIhIiir1uTphFXr5AHhY585Ezik14QjgmX5qM00NPl7lvXJbEpsbCZLMJlnZamm9O8dIg8mskDNQM0G5fO5jpmeHZ52fwmehTZtkoWdRK+YLFkTMYpciLyBdooNugzD7AroRcQe8jvXFm6BkMbDSwTNZklD9YHDmDUYqYVzMv0/V61uuJU0NOofIR0y8AAANxSURBVH/D/gV3ZlQ6mCJnMCoAHMdhcOPBshaDUU5hB4IYDAajgsMUOYPBYFRwmCJnMBiMCg5T5AwGg1HBYYqcwWAwKjhMkTMYDEYFhylyBoPBqOAwRc5gMBgVHJkc0ec4LhrAuzJfuHjoARCvu/VzUxnfGaic710Z3xmouO9tTET6PzbKRJFXJDiOeyopt8HPTGV8Z6ByvndlfGfg53tv5lphMBiMCg5T5AwGg1HBYYq8YHbLWgAZUBnfGaic710Z3xn4yd6b+cgZDAajgsMscgaDwajgMEXOYDAYFRymyIsAx3HzOI4jjuP0ZC2LtOE4bj3HcYEcxz3nOO4sx3FaspZJWnAc14vjuCCO40I4jlsoa3nKAo7janEcd4vjuACO4/w5jpspa5nKCo7j5DmO8+U47qKsZSktmCIvJBzH1QLQA8B7WctSRlwD0JSImgEIBrBIxvJIBY7j5AG4AOgNoDGAERzHNZatVGVCFoC5RNQIQFsAUyvJewPATAABshaiNGGKvPBsAjAfQKXYHSaiq0SU9e32EQAjWcojRVoDCCGiN0SUAeAYgJ++MCYRfSIin28/J4FXbDVlK5X04TjOCEAfAHtlLUtpwhR5IeA4rh+AD0T0TNayyIg/AVyWtRBSoiaA8Bz3EagECi0nHMeZALAA4CVbScqEzeANMoGsBSlNWPHlb3Acdx1AdQmPlgBYDOCXspVI+uT3zkR0/lufJeC/hh8pS9nKEE5CW6X41gUAHMepAzgNYBYRJcpaHmnCcVxfAFFE5M1xXGdZy1OaMEX+DSLqLqmd4zhzAHUAPOM4DuBdDD4cx7Umos9lKGKpk9c7C+E47ncAfQF0o5/3wEEEgFo57o0AfJSRLGUKx3GK4JX4ESI6I2t5yoAOAPpxHGcLQAWAJsdxh4lolIzlKjHsQFAR4TguDEBLIqqImdMKDcdxvQBsBGBDRNGylkdacBynAH4ztxuADwCeABhJRP4yFUzKcLxV8g+AWCKaJWt5yppvFvk8Iuora1lKA+YjZ+TFdgAaAK5xHOfHcZyrrAWSBt82dKcB+A/8ht+Jn12Jf6MDgNEAun77/+v3zVJlVECYRc5gMBgVHGaRMxgMRgWHKXIGg8Go4DBFzmAwGBUcpsgZDAajgsMUOYPBYFRwmCJnMBiMCg5T5AwGg1HB+T92aMyf7HzntAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 2 / 20 总距离： 421.98387370137254\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 3 / 20 总距离： 388.46749999468295\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 4 / 20 总距离： 365.8496949179199\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 5 / 20 总距离： 358.7755418468383\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 6 / 20 总距离： 356.3907848786897\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 7 / 20 总距离： 355.2852787954571\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 8 / 20 总距离： 354.70919703905093\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 9 / 20 总距离： 354.67888208521885\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 10 / 20 总距离： 354.67888208521885\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 11 / 20 总距离： 354.67888208521885\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 12 / 20 总距离： 354.67888208521885\n"
     ]
    }
   ],
   "source": [
    "epoch = 20\n",
    "fit_kmeans(dataset_predict, dists, epoch)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
